Question

If the sum of the roots of the equation $x^2-\left(k+6\right)x+2\left(2k-1\right)=0$ is equal to half of their product, then k =

(a) 6
(b) 7
(c) 1
(d) 5

Answer 1

The given quadric equation is , and roots are equal

Then find the value of k.

Let be two roots of given equation

And,

Then, as we know that sum of the roots

And the product of the roots

According to question, sum of the roots product of the roots

Therefore, the value of

Thus, the correct answer is