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Solve this equation. If the equation has no valid solutions, click on the appropriate button. \[ \sqrt{x-4}+9=14 \]

Ask by Hills Huang. in the United States
Mar 05,2025

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\( x=29 \)

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To solve the equation \( \sqrt{x-4}+9=14 \), we first isolate the square root: 1. Subtract 9 from both sides: \[ \sqrt{x-4} = 14 - 9 \] \[ \sqrt{x-4} = 5 \] 2. Next, we square both sides to eliminate the square root: \[ x - 4 = 5^2 \] \[ x - 4 = 25 \] 3. Finally, add 4 to both sides to solve for \( x \): \[ x = 25 + 4 \] \[ x = 29 \] So, the solution to the equation is \( x = 29 \).

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