Solve the following quadratic equation using square roots. Round to the nearest hundredth if necessary: (x+27)^2/−6=−3
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To solve the quadratic equation using square roots, we first multiply both sides of the equation by -6:
(x+27)^2 = 18
Next, we take the square root of both sides of the equation:
√((x+27)^2) = ±√18
Simplifying the square root:
x + 27 = ±√18
Now, we isolate x by subtracting 27 from both sides of the equation:
x = -27 ± √18
Rounding to the nearest hundredth:
x ≈ -27 ± 4.24
Therefore, the solutions to the quadratic equation are approximately:
x ≈ -31.24 or -22.76