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

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ICSE Class 10 Mathematics Part 2 - Shaalaa.com

Chapter 6: Quadratic Equations

Exercise 6.1Exercise 6.2Exercise 6.3

Exercise 6.1

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`

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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

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`

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Chapter 6: Quadratic Equations

Exercise 6.1Exercise 6.2Exercise 6.3
ICSE Class 10 Mathematics Part 2 - Shaalaa.com

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.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Frank textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

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.

Get the free view of chapter 6 Quadratic Equations Class 10 extra questions for ICSE Class 10 Mathematics Part 2 and can use Shaalaa.com to keep it handy for your exam preparation

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