Question

Which of the following are solutions to the equation below?

CHECK ALL THAT APPLY.

(image attched)

Answer 1

E and F

Explanation:

4x² + 20x + 25 = 49 ← left side is a perfect square

(2x + 5)² = 49 ( take square root of both sides )

2x + 5 = ±
`√(49)` = ± 7 ( subtract 5 from both sides )

2x = - 5 ± 7

then

2x = - 5 - 7 = - 12 (divide both sides by 2 )

x = - 6

or

2x = - 5 + 7 = 2 ( divide both sides by 2 )

x = 1

solutions are x = - 6 , x = 1