Question

For what value of k, the quadratic equation 2x² + 3x + k = 0 has real and equal roots?​

Answer 1

Answer:

If one of the roots to be zero product of roots must be zero.

If one of the roots to be zero product of roots must be zero.Product of roots=k/2=0

If one of the roots to be zero product of roots must be zero.Product of roots=k/2=0 => k = 0

Answer 2

Step-by-step explanation:

The discriminant of the equation having real and equal roots is equal to zero,

D= b^2 -4ac

in this equation a= 2 , b= 3, c= k

3^2 -4 * 2* k = 0?

9 - 8k = 0

-8k = -9

k = 9/8

Hope this helped:)