Question

The roots of the quadratic equation x² + x − 1 = 0 are __________.

पर्याय

• Irrational and distinct

• not real

• rational and distinct

• real and equal

Answer 1

The roots of the quadratic equation x² + x − 1 = 0 are irrational and distinct.

Explanation:

Here a = 1, b = 1, c = −1

Discriminant (D) = b² − 4ac

= (1)² − 4 × 1 (−1)

= 1 + 4

= 5

Therefore, the roots of the quadratic equation x² + x − 1 = 0 are irrational and distinct.