Question

If the equation x² − bx + 1 = 0 does not possess real roots, then

(a) −3 < b < 3
(b) −2 < b < 2
(c) b > 2
(d) b < −2

Answer 1

The given quadric equation is , and does not have real roots.

Then find the value of b.

Here,

As we know that

Putting the value of

The given equation does not have real roots, if

Therefore, the value of

Thus, the correct answer is