Question

Solve the following quadratic equation using square roots: (x+36)2−38=251
.(1 point)
Responses

{53,19}
left brace 53 comma 19 right brace

{−19,−53}
left brace negative 19 comma negative 53 right brace

{17.84,−13.84}
left brace 17.84 comma negative 13.84 right brace

{253,−325}

Answer 1

(x+36)^2 − 38 = 251
Add 38: (x+36)^2 = 289
Take square roots: x+36 = ±17
So x = −36 ± 17 → x = −19 or x = −53

Answer: {−19, −53}