Question

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

{53,19}


{17.84,−13.84}


{253,−325}


{−19,−53}

Answer 1

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

Answer: {−19, −53}