Question

If one zero of the quadratic polynomial 2x² – 6kx + 6x – 7 is negative of the other, then k = ______.

Answer 1

If one zero of the quadratic polynomial 2x² – 6kx + 6x – 7 is negative of the other, then k = 1.

Explanation:

If the roots are α and –α their sum is 0, so the coefficient of x must be 0. Here b = –6k + 6 = 0 ⇒ k = 1.