Question

If $x^2+k\left(4x+k-1\right)+2=0$ has equal roots, then k =

(a) $-\frac{2}{3},1$
(b) $\frac{2}{3},-1$
(c) $\frac{3}{2},\frac{1}{3}$
(d) $-\frac{3}{2},-\frac{1}{3}$

Answer 1

The given quadric equation is , and roots are equal

Then find the value of k.

Here,

As we know that

Putting the value of

The given equation will have real and distinct roots, if

Therefore, the value of

Thus, the correct answer is