#### Chapters

Chapter 2: Sales Tax and Value Added Tax

Chapter 3: Banking

Chapter 4: Shares and Dividends

Chapter 5: Linear Inequations

Chapter 6: Quadratic Equations

Chapter 7: Problems Based On Quadratic Equations

Chapter 8: Reflection

Chapter 9: Ratio and Proportion

Chapter 10: Remainder And Factor Theorems

Chapter 11: Matrices

Chapter 12: Distance and Section Formulae

Chapter 13: Equation of A Straight Line

Chapter 14: Symmetry

Chapter 15: Similarity

Chapter 16: Loci

Chapter 17: Circles

Chapter 18: Constructions

Chapter 19: Mensuration I

Chapter 20: Mensuration II

Chapter 21: Trigonometric Identities

Chapter 22: Heights and Distances

Chapter 23: Graphical Representations

Chapter 24: Measures Of Central Tendency

Chapter 25: Probability

## Chapter 6: Quadratic Equations

#### Exercise 6.1

### Frank solutions for ICSE Class 10 Mathematics Part 2 Chapter 6 Quadratic Equations Exercise 6.1

Solve the following equation: (x-8)(x+6) = 0

Solve the following equation:

(2x+3) (3x-7) = 0

Solve the following equation: 4x^{2} + 16x = 0

Solve the following equation: 2x^{2} - 3x - 9=0

Solve the following equation: 2x^{2} - x - 6 = 0

Solve the following equation : 5x^{2} - 11x + 2 = 0

Solve the following equation: 4x^{2} - 13x - 12 = 0

Solve the following equation: 3x^{2} + 25 x + 42 = 0

Solve the following equation: 25x (x + 1) = -4

Solve the following equation: `10"x" - 1/"x" = 3`

Solve the following equation: c

Solve the following equation :

`sqrt 2 "x"^2 - 3"x" - 2 sqrt 2 = 0`

Solve the following equation: a^{2}x^{2} - 3abx + 2b^{2} = 0

Solve the following equation: `"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `

Solve the following equation: 4x^{2} + 4 bx - (a^{2} - b^{2}) = 0

Solve the following equation : `"ax"^2 + (4"a"^2 - 3"b")"x" - 12"ab" = 0`

Solve the following : `("x" - 1/2)^2 = 4`

Solve the following equation : `"x"^2 - 4 sqrt 2 "x" + 6 = 0 `

Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`

Solve the following equation: `(2"x")/("x" - 4) + (2"x" - 5)/("x" - 3) = 25/3`

Solve the following equation: `("x" + 3)/("x" - 2) - (1 - "x")/"x" = 17/4`

Solve the following equation: `1/("x" - 1) + 2/("x" - 1) = 6/"x" , (x ≠ 0)`

Solve the following equation:

`("x" + 1)/("x" - 1) - ("x" - 1)/("x" + 1) = 5/6 , "x" ≠ -1,1`

Solve the following equation:

`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 5/2 , x ≠-1/2`

Solve the following equation: `"m"/"n" "x"^2 + "n"/"m" = 1- 2"x"`

Solve the following equation :

`1/(("x" - 1)(x - 2)) + 1/(("x" - 2)("x" - 3)) + 1/(("x" - 3)("x" -4)) = 1/6`

Solve the following equation: `7"x" + 3/"x" = 35 3/5`

Solve the following equation: `"a"/("x" - "a") + "b"/("x" - "b") = (2"c")/("x" - "c")`

Solve the following equation : x^{2} + 2ab = (2a + b)x

Solve the following equation: `("a+b")^2 "x"^2 - 4 "abx" - ("a - b")^2 = 0`

Solve the following equation: `"a"("x"^2 + 1) - x("a"^2 + 1) = 0`

Solve the Following Equation : x^{2}- x - a (a + 1) = o

Solve the following equation: `x^2 + (a + 1/a)x + 1 = 0`

Solve the following equation: abx^{2} +(b^{2}-ac) x - bc = 0

Solve the following equation: a^{2}b^{2}x^{2} + b^{2}x - a^{2}x - 1 = 0

Solve the following equation :

`("x" - 1)/("x" - 2) + ("x" - 3)/("x" - 4) = 3 1/3`

#### Exercise 6.2, Exercise 6.3

### Frank solutions for ICSE Class 10 Mathematics Part 2 Chapter 6 Quadratic Equations Exercise 6.2, Exercise 6.3

Find the value of the discriminant in the following quadratic equation:

2x^{2} - 5x + 3 = 0

Find the value of the discriminant in the following quadratic equation :

x^{2} +2x+4=0

Find the value of the discriminant in the following quadratic equation:

2x^{2} - 3x + 1 = O

Find the value of the discriminant in the following quadratic equation :

10 x - `1/x` = 3

Find the value of the discriminant in the following quadratic equation:

x^{2} +2x-2=0

Find the value of the discriminant in the following quadratic equation :

`4 sqrt 3 "x"^2 + 5"x" - 2 sqrt 3 = 0`

Determine the nature of the roots of the following quadratic equation :

2x^{2} + x-1=0

Determine the nature of the roots of the following quadratic equation :

x^{2} -4x + 4=0

Determine the nature of the roots of the following quadratic equation :

x^{2} +3x+1=0

Determine the nature of the roots of the following quadratic equation :

4x^{2} - 8x + 5 = 0

Determine the nature of the roots of the following quadratic equation :

2x^{2} + 5x - 6 = 0

Determine the nature of the roots of the following quadratic equation :

2x^{2} -3x+ 4= 0

Determine the nature of the roots of the following quadratic equation :

(x - 1)(2x - 7) = 0

Determine the nature of the roots of the following quadratic equation :

x^{2} -5x+ 7= 0

Solve the following quadratic equation using formula method only :

16x^{2} = 24x + 1

Solve the following quadratic equation using formula method only :

x^{2} +10x- 8= 0

Solve the following quadratic equation using formula method only

`2x^2 - 2 . sqrt 6x + 3 = 0`

Solve the following quadratic equation using formula method only

`3"x"^2 + 2 sqrt 5x - 5 = 0 `

Solve the following quadratic equation using formula method only :

`2x + 5 sqrt 3x +6= 0 `

Solve the following quadratic equation using formula method only

`5/4 "x"^2 - 2 sqrt 5 "x" + 4 = 0`

Solve the following quadratic equation using formula method only

`3"x"^2 - 5"x" + 25/12 = 0 `

Solve the following quadratic equation using formula method only

4x^{2} + 12x + 9 = 0

Solve the following quadratic equation using formula method only

x^{2} - 7x - 5 = 0

Solve the following quadratic equation using formula method only

x^{2} - 4x - 1 = 0

Solve the following quadratic equation using formula method only

6x^{2} + 7x - 10 = 0

Solve the following quadratic equation using formula method only

x^{2} - 6x + 4 = 0

Solve the following quadratic equation using formula method only

5x^{2} - 19x + 17 = 0

Solve the following quadratic equation using formula method only

15x^{2} - 28 = x

Solve the following quadratic equation using formula method only

4 - 11 x = 3x^{2}

Solve the following quadratic equation using formula method only

25x^{2} + 30x + 7 = 0

Solve the following quadratic equation using formula method only

16x^{2} - 24x = 1

Solve the following quadratic equation using formula method only

`3"x"^2 +2 sqrt 5 "x" -5 = 0`

Solve the following quadratic equation using formula method only

3x^{2} + 12 = 32 x

Solve the following quadratic equation using formula method only

`"x"^2 + 1/2 "x" = 3`

Solve the following quadratic equation using formula method only

`sqrt 3 "x"^2 + 10 "x" - 8 sqrt 3 = 0`

Solve the following quadratic equation using formula method only

`2"x"^2- 2 sqrt 6 + 3 = 0`

Solve the following quadratic equation using formula method only

3a^{2}x^{2} +8abx + 4b^{2} = 0, a ≠ 0

Solve the following quadratic equation using formula method only

`"x"^2 + 1/2 "x" - 1 = 0`

Solve the following quadratic equation using formula method only

`"x"^2 - 4 sqrt 15 "x" - 4 = 0`

## Chapter 6: Quadratic Equations

## Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 6 - Quadratic Equations

Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 6 (Quadratic Equations) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE ICSE Class 10 Mathematics Part 2 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in ICSE Class 10 Mathematics Part 2 chapter 6 Quadratic Equations are Quadratic Equations, Solutions of Quadratic Equations by Factorization, Nature of Roots.

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