The roots of the quadratic equation x^{2 }+ x - 1 = 0 are

A) Irrational and distinct

B) not real

C) rational and distinct

D) real and equal

Correct option is (A) 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 x^{2 }+ x - 1 = 0 are irrational and distinct.