Question

If the sum of the roots of the quadratic equation x² + kx + 6 = 0 is 6, then the value of k is ______.

Options

• – 12

• 6

• 12

• – 6

Answer 1

If the sum of the roots of the quadratic equation x² + kx + 6 = 0 is 6, then the value of k is – 6.

Explanation:

Given the quadratic equation, x² + kx + 6 = 0

We know, Sum of roots (α + β) = `- b/a`

6 = `- k/1`

– k = 6

k = – 6