Question

Ginger was asked to solve 16x2−49=0
by factoring using the difference of squares pattern. What is/are the correct solution(s)?(1 point)

There is no solution for x because the difference of squares pattern does not apply.

x=−74

x=−74, x=74

x=74

Answer 1

Solve 16x^2 − 49 = 0 by factoring as a difference of squares:

16x^2 − 49 = (4x − 7)(4x + 7) = 0

So 4x − 7 = 0 → x = 7/4, and 4x + 7 = 0 → x = −7/4.

Answer: x = −7/4 and x = 7/4.