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 {253,−325} left brace 253 comma negative 325 right brace {−19,−53} left brace negative 19 comma negative 53 right brace {17.84,−13.84}

Answer 1

To solve the quadratic equation (x+36)^2 - 38 = 251, we first need to simplify the equation:

(x+36)^2 - 38 = 251
(x+36)^2 = 289
Taking the square root of both sides:
x+36 = ±17
x = -36 ± 17

So the solutions are:
x = -36 + 17 = -19
x = -36 - 17 = -53

Therefore, the correct answer is { -19, -53 }.