Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4C>Q 33

MEDIUM

10th CBSE

IMPORTANT

Earn 100

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
$x^{2} - (2 b - 1) x + (b^{2} - b - 20) = 0$

Important Questions on Quadratic Equations

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4C>Q 34

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

3 a^{2} x^{2} + 8 a b x + 4 b^{2} = 0

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4C>Q 35

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

a^{2} b^{2} x^{2} - (4 b^{4} - 3 a^{4}) x - 12 a^{2} b^{2} = 0

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4C>Q 36

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

$12 a b x^{2} - (9 a^{2} - 8 b^{2}) x - 6 a b = 0$

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4D>Q 1

Find the nature of roots of the following quadratic equations:

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

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4D>Q 1

Find the nature of roots of the following quadratic equations:

3 x^{2} - 2 \sqrt{6} x + 2 = 0

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4D>Q 1

Find the nature of roots of the quadratic equation:

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

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4D>Q 1

What is the nature of the roots of the quadratic equation,

5 x (x - 2) + 6 = 0

?

(

No real

/

Real and unequal

/

Real and equal

)

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4D>Q 1

Find the nature of roots of the following quadratic equations:

12 x^{2} - 4 \sqrt{15} x + 5 = 0