Question

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

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

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

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

{253,−325}

Answer 1

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

Answer: {−19, −53}