Question

Solve the quadratic equation 4x2 - 49 = 0. Verify your answer using a difference-of-squares factoring method.

Answer 1

Explanation:

4x² − 49 = 0

Factor difference of squares:

(2x + 7) (2x − 7) = 0

Solve:

2x + 7 = 0, 2x − 7 = 0

x = -7/2, x = +7/2

x = ±7/2