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

EASY

AS and A Level

IMPORTANT

Earn 100

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

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

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 5

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

$k x^{2} + (2 k - 5) x = 1 - k$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 6

Find the values of $k$ for which the following equation have no real roots.

$k x^{2} - 4 x + 8 = 0$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 6

Find the values of $k$ for which the following equation have no real roots.

$3 x^{2} + 5 x + k + 1 = 0$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 6

Find the values of $k$ for which the following equation have no real roots.

$2 x^{2} + 8 x - 5 = k x^{2}$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 6

Find the values of $k$ for which the following equation have no real roots.

$2 x^{2} + k = 3 (x - 2)$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 6

Find the values of $k$ for which the following equation have no real roots.

$k x^{2} + 2 k x = 4 x - 6$

MEDIUM

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 6

Find the values of $k$ for which the following equation have no real roots.

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

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 1 Course Book>Chapter 1 - Quadratics>EXERCISE 1H>Q 7

The equation $k x^{2} + p x + 5 = 0$ has repeated real roots. Find $k$ in terms of $p$ .