The Class 10 Maths syllabus for WBBSE is designed to build a strong foundation in various mathematical concepts. It includes topics like Algebra, Geometry, Trigonometry, Statistics, and Probability. Each of these topics is crucial for developing problem-solving skills and logical thinking.

**Key Topics and Sub-Topics**

**Algebra**

- Polynomials
- Pair of Linear Equations in Two Variables
- Quadratic Equations
- Arithmetic Progressions

**Geometry**

- Triangles
- Circles
- Constructions
- Coordinate Geometry

**Trigonometry**

- Introduction to Trigonometry
- Trigonometric Identities
- Heights and Distances

**Statistics and Probability**

- Mean, Median, and Mode of Grouped Data
- Probability

**Number Systems**

- Real Numbers

**Exam Pattern Information**

The Class 10 Maths exam under WBBSE consists of two papers: Paper 1 (Theory) and Paper 2 (Internal Assessment). The theory paper is worth 90 marks, and the internal assessment is worth 10 marks.

**Theory Paper (90 Marks)**

- Section A: Multiple Choice Questions (MCQs) – 20 Marks
- Section B: Short Answer Questions (SAQs) – 30 Marks
- Section C: Long Answer Questions (LAQs) – 40 Marks

**Internal Assessment (10 Marks)**

- Project Work
- Practical Work
- Viva Voce

**Mathematical Formulas in Plain Text**

Here are some essential formulas that are frequently used in Class 10 Maths. These formulas can be easily copied and pasted into the WordPress classic editor.

**Algebra**

- Quadratic Equation: ax^2 + bx + c = 0
- Sum of roots of a quadratic equation: -b/a
- Product of roots of a quadratic equation: c/a
- Arithmetic Progression nth term: a_n = a + (n-1)d
- Sum of n terms of an arithmetic progression: S_n = n/2 * (2a + (n-1)d)

**Geometry**

- Pythagorean Theorem: a^2 + b^2 = c^2
- Area of a triangle: (1/2) * base * height
- Area of a circle: Ï€ * r^2
- Circumference of a circle: 2 * Ï€ * r

**Trigonometry**

- sin^2A + cos^2A = 1
- sec^2A – tan^2A = 1
- cosec^2A – cot^2A = 1
- sin(90Â° – A) = cosA
- cos(90Â° – A) = sinA

**Statistics and Probability**

- Mean of grouped data: Î£(f * x) / Î£f
- Mode of grouped data: L + (f1 – f0) / (2f1 – f0 – f2) * h
- Median of grouped data: L + (n/2 – cf) / f * h
- Probability of an event: Number of favorable outcomes / Total number of outcomes

**Types of Questions**

**Multiple Choice Questions (MCQs)**

- These questions have four options, and you need to choose the correct one. For example: What is the value of sin 30Â°? Options: a) 0.5 b) 0.866 c) 1 d) 0

**Short Answer Questions (SAQs)**

- These require brief answers. For example: Solve the quadratic equation x^2 – 5x + 6 = 0.

**Long Answer Questions (LAQs)**

- These require detailed solutions. For example: Prove that the sum of the angles in a triangle is 180Â°.

**Sample Questions and Answers**

**Algebra**

*Question 1: Solve the quadratic equation x^2 – 7x + 10 = 0.* *Answer: The equation can be factored as (x – 5)(x – 2) = 0. So, x = 5 or x = 2.*

*Question 2: Find the 10th term of the arithmetic progression 2, 5, 8, 11, …* *Answer: Here, a = 2 and d = 3. Using the formula for the nth term: a_n = a + (n-1)d, we get a_10 = 2 + (10-1) * 3 = 2 + 27 = 29.*

**Geometry**

*Question 1: Prove that the diagonals of a rectangle are equal.* *Answer: Let ABCD be a rectangle with diagonals AC and BD. Since ABCD is a rectangle, we have AB = CD and AD = BC. In triangles ABD and CDB, we have AB = CD, AD = BC, and BD is common. Therefore, triangles ABD and CDB are congruent by the SAS criterion. Hence, AC = BD.*

*Question 2: Find the area of a circle with radius 7 cm.* *Answer: Using the formula for the area of a circle, Ï€ * r^2, we get the area as 22/7 * 7^2 = 154 cm^2.*

**Trigonometry**

*Question 1: Prove that sin^2A + cos^2A = 1.* *Answer: In a right-angled triangle, let the angle be A. By the definition of sine and cosine, sinA = opposite/hypotenuse and cosA = adjacent/hypotenuse. Squaring both sides and adding, we get (opposite/hypotenuse)^2 + (adjacent/hypotenuse)^2 = 1, which simplifies to sin^2A + cos^2A = 1.*

*Question 2: Find the value of tan 45Â°.* *Answer: tan 45Â° = sin 45Â° / cos 45Â° = 1.*

**Statistics and Probability**

*Question 1: Find the mean of the following data: 5, 10, 15, 20, 25.* *Answer: The mean is the sum of the observations divided by the number of observations. Mean = (5 + 10 + 15 + 20 + 25) / 5 = 75 / 5 = 15.*

*Question 2: A box contains 3 red balls, 2 blue balls, and 5 green balls. What is the probability of drawing a red ball?* *Answer: The probability of an event is the number of favorable outcomes divided by the total number of outcomes. Probability of drawing a red ball = 3 / (3+2+5) = 3 / 10 = 0.3.*

## Best 100 Example Questions and Answers for Class 10 Maths Solution for WBBSE

**Question:** Find the area of a rectangle with length 10 cm and breadth 5 cm.

**Answer:** Area = Length Ã— Breadth = 10 cm Ã— 5 cm = 50 cmÂ²

**Question:** Find the perimeter of a rectangle with length 10 cm and breadth 5 cm.

**Answer:** Perimeter = 2 Ã— (Length + Breadth) = 2 Ã— (10 cm + 5 cm) = 30 cm

**Question:** Calculate the area of a triangle with base 8 cm and height 5 cm.

**Answer:** Area = 1/2 Ã— Base Ã— Height = 1/2 Ã— 8 cm Ã— 5 cm = 20 cmÂ²

**Question:** Calculate the perimeter of an equilateral triangle with side 6 cm.

**Answer:** Perimeter = 3 Ã— Side = 3 Ã— 6 cm = 18 cm

**Question:** Find the circumference of a circle with radius 7 cm.

**Answer:** Circumference = 2 Ã— Ï€ Ã— Radius = 2 Ã— 3.14 Ã— 7 cm = 43.96 cm

**Question:** Find the area of a circle with radius 7 cm.

**Answer:** Area = Ï€ Ã— RadiusÂ² = 3.14 Ã— (7 cm)Â² = 153.86 cmÂ²

**Question:** Calculate the volume of a cube with side 4 cm.

**Answer:** Volume = SideÂ³ = (4 cm)Â³ = 64 cmÂ³

**Question:** Find the surface area of a cube with side 4 cm.

**Answer:** Surface Area = 6 Ã— SideÂ² = 6 Ã— (4 cm)Â² = 96 cmÂ²

**Question:** Calculate the volume of a cuboid with length 5 cm, breadth 3 cm, and height 2 cm.

**Answer:** Volume = Length Ã— Breadth Ã— Height = 5 cm Ã— 3 cm Ã— 2 cm = 30 cmÂ³

**Question:** Find the surface area of a cuboid with length 5 cm, breadth 3 cm, and height 2 cm.

**Answer:** Surface Area = 2 Ã— (Length Ã— Breadth + Breadth Ã— Height + Height Ã— Length) = 2 Ã— (5 cm Ã— 3 cm + 3 cm Ã— 2 cm + 2 cm Ã— 5 cm) = 62 cmÂ²

**Question:** Calculate the area of a parallelogram with base 12 cm and height 8 cm.

**Answer:** Area = Base Ã— Height = 12 cm Ã— 8 cm = 96 cmÂ²

**Question:** Find the perimeter of a square with side 9 cm.

**Answer:** Perimeter = 4 Ã— Side = 4 Ã— 9 cm = 36 cm

**Question:** Calculate the area of a square with side 9 cm.

**Answer:** Area = SideÂ² = (9 cm)Â² = 81 cmÂ²

**Question:** Find the volume of a cylinder with radius 5 cm and height 10 cm.

**Answer:** Volume = Ï€ Ã— RadiusÂ² Ã— Height = 3.14 Ã— (5 cm)Â² Ã— 10 cm = 785 cmÂ³

**Question:** Calculate the surface area of a cylinder with radius 5 cm and height 10 cm.

**Answer:** Surface Area = 2 Ã— Ï€ Ã— Radius Ã— (Radius + Height) = 2 Ã— 3.14 Ã— 5 cm Ã— (5 cm + 10 cm) = 471 cmÂ²

**Question:** Find the area of a trapezium with bases 8 cm and 5 cm and height 6 cm.

**Answer:** Area = 1/2 Ã— (Base1 + Base2) Ã— Height = 1/2 Ã— (8 cm + 5 cm) Ã— 6 cm = 39 cmÂ²

**Question:** Calculate the distance between two points (3, 4) and (6, 8).

**Answer:** Distance = âˆš((x2 – x1)Â² + (y2 – y1)Â²) = âˆš((6 – 3)Â² + (8 – 4)Â²) = âˆš(9 + 16) = âˆš25 = 5

**Question:** Find the midpoint of the line segment joining the points (2, 3) and (4, 5).

**Answer:** Midpoint = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 4)/2, (3 + 5)/2) = (3, 4)

**Question:** Solve for x: 3x + 5 = 20.

**Answer:** 3x + 5 = 20 => 3x = 20 – 5 => 3x = 15 => x = 15/3 => x = 5

**Question:** Solve for y: 2y – 7 = 13.

**Answer:** 2y – 7 = 13 => 2y = 13 + 7 => 2y = 20 => y = 20/2 => y = 10

**Question:** Solve for x: 5x – 9 = 21.

**Answer:** 5x – 9 = 21 => 5x = 21 + 9 => 5x = 30 => x = 30/5 => x = 6

**Question:** Solve for y: 4y + 3 = 19.

**Answer:** 4y + 3 = 19 => 4y = 19 – 3 => 4y = 16 => y = 16/4 => y = 4

**Question:** Solve for x: 7x – 2 = 26.

**Answer:** 7x – 2 = 26 => 7x = 26 + 2 => 7x = 28 => x = 28/7 => x = 4

**Question:** Solve for y: 9y + 4 = 40.

**Answer:** 9y + 4 = 40 => 9y = 40 – 4 => 9y = 36 => y = 36/9 => y = 4

**Question:** Find the quadratic roots of the equation xÂ² – 5x + 6 = 0.

**Answer:** xÂ² – 5x + 6 = 0 => (x – 2)(x – 3) = 0 => x = 2, x = 3

**Question:** Find the quadratic roots of the equation xÂ² – 7x + 12 = 0.

**Answer:** xÂ² – 7x + 12 = 0 => (x – 3)(x – 4) = 0 => x = 3, x = 4

**Question:** Find the quadratic roots of the equation xÂ² – 9x + 20 = 0.

**Answer:** xÂ² – 9x + 20 = 0 => (x – 4)(x – 5) = 0 => x = 4, x = 5

**Question:** Find the quadratic roots of the equation xÂ² – 11x + 28 = 0.

**Answer:** xÂ² – 11x + 28 = 0 => (x – 4)(x – 7) = 0 => x = 4, x = 7

**Question:** Find the quadratic roots of the equation xÂ² – 13x + 36 = 0.

**Answer:** xÂ² – 13x + 36 = 0 => (x – 4)(x – 9) = 0 => x = 4, x = 9

**Question:** Find the quadratic roots of the equation xÂ² – 15x + 50 = 0.

**Answer:** xÂ² – 15x + 50 = 0 => (x – 5)(x – 10) = 0 => x = 5, x = 10

**Question:** Solve for x in the equation 3xÂ² – 12x + 9 = 0.

**Answer:** 3xÂ² – 12x + 9 = 0 => xÂ² – 4x + 3 = 0 => (x – 1)(x – 3) = 0 => x = 1, x = 3

**Question:** Solve for x in the equation 2xÂ² – 8x + 6 = 0.

**Answer:** 2xÂ² – 8x + 6 = 0 => xÂ² – 4x + 3 = 0 => (x – 1)(x – 3) = 0 => x = 1, x = 3

**Question:** Solve for x in the equation xÂ² – 6x + 5 = 0.

**Answer:** xÂ² – 6x + 5 = 0 => (x – 1)(x – 5) = 0 => x = 1, x = 5

**Question:** Solve for x in the equation xÂ² – 8x + 15 = 0.

**Answer:** xÂ² – 8x + 15 = 0 => (x – 3)(x – 5) = 0 => x = 3, x = 5

**Question:** Solve for x in the equation xÂ² – 10x + 24 = 0.

**Answer:** xÂ² – 10x + 24 = 0 => (x – 4)(x – 6) = 0 => x = 4, x = 6

**Question:** Solve for x in the equation xÂ² – 12x + 35 = 0.

**Answer:** xÂ² – 12x + 35 = 0 => (x – 5)(x – 7) = 0 => x = 5, x = 7

**Question:** Solve for x in the equation xÂ² – 14x + 48 = 0.

**Answer:** xÂ² – 14x + 48 = 0 => (x – 6)(x – 8) = 0 => x = 6, x = 8

**Question:** Solve for x in the equation xÂ² – 16x + 63 = 0.

**Answer:** xÂ² – 16x + 63 = 0 => (x – 7)(x – 9) = 0 => x = 7, x = 9

**Question:** Solve for x in the equation xÂ² – 18x + 80 = 0.

**Answer:** xÂ² – 18x + 80 = 0 => (x – 8)(x – 10) = 0 => x = 8, x = 10

**Question:** Solve for x in the equation xÂ² – 20x + 99 = 0.

**Answer:** xÂ² – 20x + 99 = 0 => (x – 9)(x – 11) = 0 => x = 9, x = 11

**Question:** Solve for x in the equation xÂ² – 22x + 120 = 0.

**Answer:** xÂ² – 22x + 120 = 0 => (x – 10)(x – 12) = 0 => x = 10, x = 12

**Question:** Solve for x in the equation xÂ² – 24x + 143 = 0.

**Answer:** xÂ² – 24x + 143 = 0 => (x – 11)(x – 13) = 0 => x = 11, x = 13

**Question:** Solve for x in the equation xÂ² – 26x + 168 = 0.

**Answer:** xÂ² – 26x + 168 = 0 => (x – 12)(x – 14) = 0 => x = 12, x = 14

**Question:** Solve for x in the equation xÂ² – 28x + 195 = 0.

**Answer:** xÂ² – 28x + 195 = 0 => (x – 13)(x – 15) = 0 => x = 13, x = 15

**Question:** Solve for x in the equation xÂ² – 30x + 224 = 0.

**Answer:** xÂ² – 30x + 224 = 0 => (x – 14)(x – 16) = 0 => x = 14, x = 16

**Question:** Solve for x in the equation xÂ² – 32x + 255 = 0.

**Answer:** xÂ² – 32x + 255 = 0 => (x – 15)(x – 17) = 0 => x = 15, x = 17

**Question:** Solve for x in the equation xÂ² – 34x + 288 = 0.

**Answer:** xÂ² – 34x + 288 = 0 => (x – 16)(x – 18) = 0 => x = 16, x = 18

**Question:** Solve for x in the equation xÂ² – 36x + 323 = 0.

**Answer:** xÂ² – 36x + 323 = 0 => (x – 17)(x – 19) = 0 => x = 17, x = 19

**Question:** Solve for x in the equation xÂ² – 38x + 360 = 0.

**Answer:** xÂ² – 38x + 360 = 0 => (x – 18)(x – 20) = 0 => x = 18, x = 20

**Question:** Solve for x in the equation xÂ² – 40x + 399 = 0.

**Answer:** xÂ² – 40x + 399 = 0 => (x – 19)(x – 21) = 0 => x = 19, x = 21

**Question:** Solve for x in the equation xÂ² – 42x + 440 = 0.

**Answer:** xÂ² – 42x + 440 = 0 => (x – 20)(x – 22) = 0 => x = 20, x = 22

**Question:** Solve for x in the equation xÂ² – 44x + 483 = 0.

**Answer:** xÂ² – 44x + 483 = 0 => (x – 21)(x – 23) = 0 => x = 21, x = 23

**Question:** Solve for x in the equation xÂ² – 46x + 528 = 0.

**Answer:** xÂ² – 46x + 528 = 0 => (x – 22)(x – 24) = 0 => x = 22, x = 24

**Question:** Solve for x in the equation xÂ² – 48x + 575 = 0.

**Answer:** xÂ² – 48x + 575 = 0 => (x – 23)(x – 25) = 0 => x = 23, x = 25

**Question:** Solve for x in the equation xÂ² – 50x + 624 = 0.

**Answer:** xÂ² – 50x + 624 = 0 => (x – 24)(x – 26) = 0 => x = 24, x = 26

**Question:** Solve for x in the equation xÂ² – 52x + 675 = 0.

**Answer:** xÂ² – 52x + 675 = 0 => (x – 25)(x – 27) = 0 => x = 25, x = 27

**Question:** Solve for x in the equation xÂ² – 54x + 728 = 0.

**Answer:** xÂ² – 54x + 728 = 0 => (x – 26)(x – 28) = 0 => x = 26, x = 28

**Question:** Solve for x in the equation xÂ² – 56x + 783 = 0.

**Answer:** xÂ² – 56x + 783 = 0 => (x – 27)(x – 29) = 0 => x = 27, x = 29

**Question:** Solve for x in the equation xÂ² – 58x + 840 = 0.

**Answer:** xÂ² – 58x + 840 = 0 => (x – 28)(x – 30) = 0 => x = 28, x = 30

**Question:** Solve for x in the equation xÂ² – 60x + 899 = 0.

**Answer:** xÂ² – 60x + 899 = 0 => (x – 29)(x – 31) = 0 => x = 29, x = 31

**Question:** Solve for x in the equation xÂ² – 62x + 960 = 0.

**Answer:** xÂ² – 62x + 960 = 0 => (x – 30)(x – 32) = 0 => x = 30, x = 32

**Question:** Solve for x in the equation xÂ² – 64x + 1023 = 0.

**Answer:** xÂ² – 64x + 1023 = 0 => (x – 31)(x – 33) = 0 => x = 31, x = 33

**Question:** Solve for x in the equation xÂ² – 66x + 1088 = 0.

**Answer:** xÂ² – 66x + 1088 = 0 => (x – 32)(x – 34) = 0 => x = 32, x = 34

**Question:** Solve for x in the equation xÂ² – 68x + 1155 = 0.

**Answer:** xÂ² – 68x + 1155 = 0 => (x – 33)(x – 35) = 0 => x = 33, x = 35

**Question:** Solve for x in the equation xÂ² – 70x + 1224 = 0.

**Answer:** xÂ² – 70x + 1224 = 0 => (x – 34)(x – 36) = 0 => x = 34, x = 36

**Question:** Solve for x in the equation xÂ² – 72x + 1295 = 0.

**Answer:** xÂ² – 72x + 1295 = 0 => (x – 35)(x – 37) = 0 => x = 35, x = 37

**Question:** Solve for x in the equation xÂ² – 74x + 1368 = 0.

**Answer:** xÂ² – 74x + 1368 = 0 => (x – 36)(x – 38) = 0 => x = 36, x = 38

**Question:** Solve for x in the equation xÂ² – 76x + 1443 = 0.

**Answer:** xÂ² – 76x + 1443 = 0 => (x – 37)(x – 39) = 0 => x = 37, x = 39

**Question:** Solve for x in the equation xÂ² – 78x + 1520 = 0.

**Answer:** xÂ² – 78x + 1520 = 0 => (x – 38)(x – 40) = 0 => x = 38, x = 40

**Question:** Solve for x in the equation xÂ² – 80x + 1599 = 0.

**Answer:** xÂ² – 80x + 1599 = 0 => (x – 39)(x – 41) = 0 => x = 39, x = 41

**Question:** Solve for x in the equation xÂ² – 82x + 1680 = 0.

**Answer:** xÂ² – 82x + 1680 = 0 => (x – 40)(x – 42) = 0 => x = 40, x = 42

**Question:** Solve for x in the equation xÂ² – 84x + 1763 = 0.

**Answer:** xÂ² – 84x + 1763 = 0 => (x – 41)(x – 43) = 0 => x = 41, x = 43

**Question:** Solve for x in the equation xÂ² – 86x + 1848 = 0.

**Answer:** xÂ² – 86x + 1848 = 0 => (x – 42)(x – 44) = 0 => x = 42, x = 44

**Question:** Solve for x in the equation xÂ² – 88x + 1935 = 0.

**Answer:** xÂ² – 88x + 1935 = 0 => (x – 43)(x – 45) = 0 => x = 43, x = 45

**Question:** Solve for x in the equation xÂ² – 90x + 2024 = 0.

**Answer:** xÂ² – 90x + 2024 = 0 => (x – 44)(x – 46) = 0 => x = 44, x = 46

**Question:** Solve for x in the equation xÂ² – 92x + 2115 = 0.

**Answer:** xÂ² – 92x + 2115 = 0 => (x – 45)(x – 47) = 0 => x = 45, x = 47

**Question:** Solve for x in the equation xÂ² – 94x + 2208 = 0.

**Answer:** xÂ² – 94x + 2208 = 0 => (x – 46)(x – 48) = 0 => x = 46, x = 48

**Question:** Solve for x in the equation xÂ² – 96x + 2303 = 0.

**Answer:** xÂ² – 96x + 2303 = 0 => (x – 47)(x – 49) = 0 => x = 47, x = 49

**Question:** Solve for x in the equation xÂ² – 98x + 2400 = 0.

**Answer:** xÂ² – 98x + 2400 = 0 => (x – 48)(x – 50) = 0 => x = 48, x = 50

**Question:** Solve for x in the equation xÂ² – 100x + 2499 = 0.

**Answer:** xÂ² – 100x + 2499 = 0 => (x – 49)(x – 51) = 0 => x = 49, x = 51

**Question:** Solve for x in the equation xÂ² – 102x + 2600 = 0.

**Answer:** xÂ² – 102x + 2600 = 0 => (x – 50)(x – 52) = 0 => x = 50, x = 52

**Question:** Solve for x in the equation xÂ² – 104x + 2703 = 0.

**Answer:** xÂ² – 104x + 2703 = 0 => (x – 51)(x – 53) = 0 => x = 51, x = 53

**Question:** Solve for x in the equation xÂ² – 106x + 2808 = 0.

**Answer:** xÂ² – 106x + 2808 = 0 => (x – 52)(x – 54) = 0 => x = 52, x = 54

**Question:** Solve for x in the equation xÂ² – 108x + 2915 = 0.

**Answer:** xÂ² – 108x + 2915 = 0 => (x – 53)(x – 55) = 0 => x = 53, x = 55

**Question:** Solve for x in the equation xÂ² – 110x + 3024 = 0.

**Answer:** xÂ² – 110x + 3024 = 0 => (x – 54)(x – 56) = 0 => x = 54, x = 56

**Question:** Solve for x in the equation xÂ² – 112x + 3135 = 0.

**Answer:** xÂ² – 112x + 3135 = 0 => (x – 55)(x – 57) = 0 => x = 55, x = 57

**Question:** Solve for x in the equation xÂ² – 114x + 3248 = 0.

**Answer:** xÂ² – 114x + 3248 = 0 => (x – 56)(x – 58) = 0 => x = 56, x = 58

**Question:** Solve for x in the equation xÂ² – 116x + 3363 = 0.

**Answer:** xÂ² – 116x + 3363 = 0 => (x – 57)(x – 59) = 0 => x = 57, x = 59

**Question:** Solve for x in the equation xÂ² – 118x + 3480 = 0.

**Answer:** xÂ² – 118x + 3480 = 0 => (x – 58)(x – 60) = 0 => x = 58, x = 60

**Question:** Solve for x in the equation xÂ² – 120x + 3599 = 0.

**Answer:** xÂ² – 120x + 3599 = 0 => (x – 59)(x – 61) = 0 => x = 59, x = 61

**Question:** Solve for x in the equation xÂ² – 122x + 3720 = 0.

**Answer:** xÂ² – 122x + 3720 = 0 => (x – 60)(x – 62) = 0 => x = 60, x = 62

**Question:** Solve for x in the equation xÂ² – 124x + 3843 = 0.

**Answer:** xÂ² – 124x + 3843 = 0 => (x – 61)(x – 63) = 0 => x = 61, x = 63

**Question:** Solve for x in the equation xÂ² – 126x + 3968 = 0.

**Answer:** xÂ² – 126x + 3968 = 0 => (x – 62)(x – 64) = 0 => x = 62, x = 64

**Question:** Solve for x in the equation xÂ² – 128x + 4095 = 0.

**Answer:** xÂ² – 128x + 4095 = 0 => (x – 63)(x – 65) = 0 => x = 63, x = 65

**Question:** Solve for x in the equation xÂ² – 130x + 4224 = 0.

**Answer:** xÂ² – 130x + 4224 = 0 => (x – 64)(x – 66) = 0 => x = 64, x = 66

**Question:** Solve for x in the equation xÂ² – 132x + 4355 = 0.

**Answer:** xÂ² – 132x + 4355 = 0 => (x – 65)(x – 67) = 0 => x = 65, x = 67

**Question:** Solve for x in the equation xÂ² – 134x + 4488 = 0.

**Answer:** xÂ² – 134x + 4488 = 0 => (x – 66)(x – 68) = 0 => x = 66, x = 68

**Question:** Solve for x in the equation xÂ² – 136x + 4623 = 0.

**Answer:** xÂ² – 136x + 4623 = 0 => (x – 67)(x – 69) = 0 => x = 67, x = 69

**Question:** Solve for x in the equation xÂ² – 138x + 4760 = 0.

**Answer:** xÂ² – 138x + 4760 = 0 => (x – 68)(x – 70) = 0 => x = 68, x = 70

**Question:** Solve for x in the equation xÂ² – 140x + 4899 = 0.

**Answer:** xÂ² – 140x + 4899 = 0 => (x – 69)(x – 71) = 0 => x = 69, x = 71