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# Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 6 - Quadratic Equations [Latest edition]

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#### Chapters

Exercise 6.1Exercise 6.2Exercise 6.3

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

Exercise 6.1 | Q 1

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

Exercise 6.1 | Q 2

Solve the following equation:

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

Exercise 6.1 | Q 3

Solve the following equation: 4x2 + 16x = 0

Exercise 6.1 | Q 4

Solve the following equation:  2x2 - 3x - 9=0

Exercise 6.1 | Q 5

Solve the following equation:  2x2 - x - 6 = 0

Exercise 6.1 | Q 6

Solve the following equation : 5x2 - 11x + 2 = 0

Exercise 6.1 | Q 7

Solve the following equation:  4x2 - 13x - 12 = 0

Exercise 6.1 | Q 8

Solve the following equation: 3x2 + 25 x + 42 = 0

Exercise 6.1 | Q 9

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

Exercise 6.1 | Q 10

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

Exercise 6.1 | Q 11

Solve the following equation:  c

Exercise 6.1 | Q 12

Solve the following equation :

sqrt 2  "x"^2 - 3"x" - 2 sqrt 2 = 0

Exercise 6.1 | Q 13

Solve the following equation: a2x2 - 3abx + 2b2 = 0

Exercise 6.1 | Q 14

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

Exercise 6.1 | Q 16

Solve the following equation: 4x2 + 4 bx - (a2 - b2) = 0

Exercise 6.1 | Q 17

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

Exercise 6.1 | Q 18

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

Exercise 6.1 | Q 19

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

Exercise 6.1 | Q 20

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

Exercise 6.1 | Q 21

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

Exercise 6.1 | Q 22

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

Exercise 6.1 | Q 23

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

Exercise 6.1 | Q 24

Solve the following equation:

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

Exercise 6.1 | Q 25

Solve the following equation:

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

Exercise 6.1 | Q 26

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

Exercise 6.1 | Q 27

Solve the following equation :

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

Exercise 6.1 | Q 28

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

Exercise 6.1 | Q 29

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

Exercise 6.1 | Q 30

Solve the following equation : x2 + 2ab = (2a + b)x

Exercise 6.1 | Q 31

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

Exercise 6.1 | Q 32

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

Exercise 6.1 | Q 33

Solve the Following Equation : x2- x - a (a + 1) = o

Exercise 6.1 | Q 34

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

Exercise 6.1 | Q 35

Solve the following equation:  abx2 +(b2-ac) x - bc = 0

Exercise 6.1 | Q 36

Solve the following equation:  a2b2x2 + b2x - a2x - 1 = 0

Exercise 6.1 | Q 37

Solve the following equation :

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

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

Exercise 6.2 | Q 1.1

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

2x2 - 5x + 3 = 0

Exercise 6.2 | Q 1.2

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

x2 +2x+4=0

Exercise 6.2 | Q 1.3

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

2x2 - 3x + 1 = O

Exercise 6.2 | Q 1.4

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

10 x - 1/x = 3

Exercise 6.2 | Q 1.5

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

x2 +2x-2=0

Exercise 6.2 | Q 1.6

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

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

Exercise 6.2 | Q 2.1

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

2x2 + x-1=0

Exercise 6.2 | Q 2.2

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

x2 -4x + 4=0

Exercise 6.2 | Q 2.3

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

x2 +3x+1=0

Exercise 6.2 | Q 2.4

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

4x2 - 8x + 5 = 0

Exercise 6.2 | Q 2.5

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

2x2 + 5x - 6 = 0

Exercise 6.2 | Q 2.6

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

2x2 -3x+ 4= 0

Exercise 6.2 | Q 2.7

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

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

Exercise 6.2 | Q 2.8

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

x2 -5x+ 7= 0

Exercise 6.2 | Q 3.01

Solve the following quadratic equation using formula method only :

16x2 = 24x + 1

Exercise 6.2 | Q 3.02

Solve the following quadratic equation using formula method only :

x2 +10x- 8= 0

Exercise 6.2 | Q 3.03

Solve the following quadratic equation using formula method only

2x^2 - 2  . sqrt 6x + 3 = 0

Exercise 6.2 | Q 3.04

Solve the following quadratic equation using formula method only

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

Exercise 6.2 | Q 3.05

Solve the following quadratic equation using formula method only :

2x + 5 sqrt 3x +6= 0

Exercise 6.2 | Q 3.06

Solve the following quadratic equation using formula method only

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

Exercise 6.2 | Q 3.07

Solve the following quadratic equation using formula method only

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

Exercise 6.2 | Q 3.08

Solve the following quadratic equation using formula method only

4x2 + 12x + 9 = 0

Exercise 6.2 | Q 3.09

Solve the following quadratic equation using formula method only

x2 - 7x - 5 = 0

Exercise 6.2 | Q 3.1

Solve the following quadratic equation using formula method only

x2 - 4x - 1 = 0

Exercise 6.2 | Q 3.11

Solve the following quadratic equation using formula method only

6x2 + 7x - 10 = 0

Exercise 6.2 | Q 3.12

Solve the following quadratic equation using formula method only

x2 - 6x + 4 = 0

Exercise 6.2 | Q 3.13

Solve the following quadratic equation using formula method only

5x2 - 19x + 17 = 0

Exercise 6.2 | Q 3.14

Solve the following quadratic equation using formula method only

15x2 - 28 = x

Exercise 6.2 | Q 3.15

Solve the following quadratic equation using formula method only

4 - 11 x = 3x2

Exercise 6.2 | Q 3.16

Solve the following quadratic equation using formula method only

25x2 + 30x + 7 = 0

Exercise 6.2 | Q 3.17

Solve the following quadratic equation using formula method only

16x2 - 24x = 1

Exercise 6.3 | Q 3.18

Solve the following quadratic equation using formula method only

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

Exercise 6.2 | Q 3.19

Solve the following quadratic equation using formula method only

3x2 + 12 = 32 x

Exercise 6.2 | Q 3.2

Solve the following quadratic equation using formula method only

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

Exercise 6.2 | Q 3.21

Solve the following quadratic equation using formula method only

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

Exercise 6.2 | Q 3.22

Solve the following quadratic equation using formula method only

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

Exercise 6.2 | Q 3.23

Solve the following quadratic equation using formula method only

3a2x2 +8abx + 4b2 = 0, a ≠ 0

Exercise 6.2 | Q 3.24

Solve the following quadratic equation using formula method only

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

Exercise 6.2 | Q 3.25

Solve the following quadratic equation using formula method only

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

Exercise 6.1Exercise 6.2Exercise 6.3

## 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.

Using Frank Class 10 solutions Quadratic Equations exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Frank Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 10 prefer Frank Textbook Solutions to score more in exam.

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