Question

Solve the following quadratic equation using square root. Round to the nearest hundredth if necessary: (x+27)^2/-6 = -3. Put the lesser value first. {__, __}

Answer 1

Multiply both sides by -6:
(x + 27)^2 = 18

Take square roots:
x + 27 = ±√18 = ±3√2

So x = -27 ± 3√2.

Numerically (to the nearest hundredth): x ≈ -31.24 and -22.76.

Answer: {-31.24, -22.76}