Question

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

{−19,−53}


{17.84,−13.84}


{253,−325}


{53,19}

Answer 1

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

Answer: {−19, −53}