Question

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

{−19,−53}

left brace negative 19 comma negative 53 right brace

{253,−325}

left brace 253 comma negative 325 right brace

{17.84,−13.84}

left brace 17.84 comma negative 13.84 right brace

{53,19}

Answer 1

(x+36)^2 − 38 = 251
⇒ (x+36)^2 = 289
⇒ x+36 = ±√289 = ±17
So x = -36 ± 17 → x = -19 or x = -53.

Answer: {−19, −53}