Question

Solve the quadratic equation below using square roots.

(x−4)2=25

(1 point)
Responses

{−1, 9}
\(\left\{-1,\ 9\right\}\) - no response given

{−2, 6}
\(\left\{-2,\ 6\right\}\) - incorrect

{−29−−√, 29−−√}
\(\left\{-\sqrt{29},\ \sqrt{29}\right\}\) - no response given

{−3, 7}

Answer 1

(x − 4)^2 = 25
Take square roots: x − 4 = ±5
So x = 4 ± 5 → x = 9 or x = −1

Answer: {−1, 9}