Question

If one root of the quadratic equation 3x² – 10x + k = 0 is reciprocal of the other, then k = ______.

Answer 1

If one root of the quadratic equation 3x² – 10x + k = 0 is reciprocal of the other, then k = 3.

Explanation:

If the roots are reciprocals, their product = 1.

For 3x² – 10x + k = 0 the product of the roots = `c/a = k/3`.

So `k/3 = 1`

⇒ k = 3