Question

If the equation ax² + 2x + a = 0 has two distinct roots, if

(a) a = ±1
(b) a = 0
(c) a = 0, 1
(d) a = −1, 0

Answer 1

The given quadric equation is , and roots are distinct.

Then find the value of a.

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