Question

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

{253,−325}


{17.84,−13.84}


{53,19}


{−19,−53}

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Answer 1

Solve (x + 36)^2 − 38 = 251.

Add 38 to both sides: (x + 36)^2 = 289.

Take square roots: x + 36 = ±17.

So x = −36 ± 17 → x = −19 or x = −53.

Answer: {−19, −53}