Question

Find the value of k for which the roots of the quadratic equation 5x-10x+k=0 are real and equal

Answer 1

The given equation is 2x

2

−10x+k=0

Here, a=2,b=−10,c=k

∴D=b

2

−4ac=(−10)

2

−4×2×k=100−8k

The given equation will have real and equal roots, if

D=0⇒100−8k=0⇒k=

8

100

​

=

2

25

​

Explanation: