Question

Solve the following quadratic equation using square roots. Round to the nearest hundredth if necessary ((x+16)^2)/9 = 7. (1 point)
Note: Write your answer in set notation.

Answer 1

((x+16)^2)/9 = 7
=> (x+16)^2 = 63
=> x+16 = ±√63 = ±3√7
=> x = -16 ± 3√7

In set notation: { -16 + 3√7, -16 - 3√7 } ≈ { -8.06, -23.94 }