Question

Determine the value of K for which the quadratic equation kx² - 3kx + 4 = 0 has equal roots

Answer 1

Answer:

hope it helps you....

Mark me as brainlist...

Answer 2

For having real roots we know that the Discriminant of the quadratic equation must be equal to zero.

Given equation :-

kx² - 3kx + 4 = 0

For, Real roots.

D = 0

As we know that,

D = b² - 4ac

b² - 4ac = 0

(-3k)² - 4(k)(4) = 0

9k² - 16k = 0

k(9k - 16) = 0

As we know that if product of two terms is equal to zero then either first term is equal to or second term is equal to zero.

k = 0,

or

9k - 16 = 0

k = 16/9

Hence,

The value of K = 0 or 16/9