Question

value of k for which the quadratic equation 2 x square - 4 x + K is equal to zero has equal roots

Answer 1

In given quadratic equation,
$4 {x}^{2} - 4k + k = 0$



,comparing with
$a {x}^{2} + bx + c = 0$
Here,
a=4 ,b=-4,c=k

${b}^{2} + 4ac$
=
$( - {4}^{2}) + 4 \times 4 \times k$
= 16+16k

But ,the by the equation of roots are real and equal,
delta =0

16+16k=0
16k=-16
k=-16/16
k=-1


Hope it helps you!