Solve the following quadratic equation using square roots. Round to the nearest hundredth if necessary: (x+16)^2/9=7
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To solve the equation (x+16)^2/9=7 using square roots, we can start by isolating the squared term by multiplying both sides of the equation by 9:
(x+16)^2 = 63
Next, we can take the square root of both sides of the equation:
√((x+16)^2) = √63
Simplifying both sides:
x + 16 = ±√63
Now we can isolate x by subtracting 16 from both sides of the equation:
x = -16 ± √63
Rounding to the nearest hundredth, the solutions are:
x = -16 + √63 ≈ -5.74
x = -16 - √63 ≈ -26.26