Question

If x = −4 is a root of the quadratic equation 2x² − 7x + q = 0, then find the value of q.

Answer 1

Given:

2x² − 7x + q = 0

Substitute x = −4:

2(−4)² − 7(−4) + q = 0

2(16) + 28 + q = 0

32 + 28 + q = 0

60 + q = 0

q = −60