Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 2

EASY

AS and A Level

IMPORTANT

Earn 100

Use the discriminant to determine the nature of the roots of $2 - 5 x = \frac{4}{x}$ .

Important Questions on Quadratics

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 3

The equation

x^{2} + b x + c = 0

has roots

- 5

and

7

. Find the values of

b

and

c

.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 4

Find the values of $k$ for which the following equations have two equal roots.

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

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 4

Find the values of $k$ for which the following equations have two equal roots.

$4 x^{2} + 4 (k - 2) x + k = 0$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 4

Find the values of $k$ for which the following equations have two equal roots.

$(k + 2) x^{2} + 4 k = (4 k + 2) x$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 4

Find the values of $k$ for which the following equations have two equal roots.

$x^{2} - 2 x + 1 = 2 k (k - 2)$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 4

Find the values of $k$ for which the following equations have two equal roots.

$(k + 1) x^{2} + k x - 2 k = 0$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 4

Find the values of $k$ for which the following equations have two equal roots.

$4 x^{2} - (k - 2) x + 9 = 0$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 5

Find the values of $k$ for which the following equation have two distinct roots.

$x^{2} + 8 x + 3 = k$