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Solve the equation. Write the smaller answer first. \( (x-6)^{2}=36 \) \( x=\square \) A \( x=\square \)

Ask by Wood Collins. in the United States
Feb 21,2025

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\( x=0 \) and \( x=12 \)

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To solve the equation \( (x-6)^{2}=36 \), start by taking the square root of both sides. This gives you two equations to consider: \( x-6 = 6 \) and \( x-6 = -6 \). From \( x-6 = 6 \), adding 6 to both sides gives you \( x = 12 \). From \( x-6 = -6 \), adding 6 to both sides gives you \( x = 0 \). So, the answers are \( x = 0 \) and \( x = 12 \). Thus, the solution is \( x=0 \) and \( x=12 \).

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