Question

If the equation 9x² + 6kx + 4 = 0 has equal roots, then the roots are both equal to

(a) $\pm \frac{2}{3}$
(b) $\pm \frac{3}{2}$
(c) 0
(d) ±3

Answer 1

The given quadric equation is , and roots are equal.

Then find roots of given equation.

Here,

As we know that

Putting the value of

The given equation will have equal roots, if

So, putting the value of k in quadratic equation

When then equation be and when then

Therefore, the value of

Thus, the correct answer is