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Solve the equation, give exact solutions. Then approximate the solution to the nearest hundredth if necessary

Solve the equation, give exact solutions. Then approximate the solution to the nearest-example-1

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\begin{gathered} x^2+5=41 \\ \text{solve for x:} \\ \text{subtract 5 from both sides:} \\ x^2+5-5=41-5 \\ x^2=36 \\ \text{take the square root to both sides: } \\ \sqrt[]{x^2}=\sqrt[]{36} \\ x=\pm6 \end{gathered}

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