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

Solve the equation \( \sqrt{x-4}+9=14 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\sqrt{x-4}+9=14\) - step1: Find the domain: \(\sqrt{x-4}+9=14,x\geq 4\) - step2: Move the constant to the right side: \(\sqrt{x-4}=14-9\) - step3: Subtract the numbers: \(\sqrt{x-4}=5\) - step4: Raise both sides to the \(2\)-th power\(:\) \(\left(\sqrt{x-4}\right)^{2}=5^{2}\) - step5: Evaluate the power: \(x-4=25\) - step6: Move the constant to the right side: \(x=25+4\) - step7: Add the numbers: \(x=29\) - step8: Check if the solution is in the defined range: \(x=29,x\geq 4\) - step9: Find the intersection: \(x=29\) - step10: Check the solution: \(x=29\) The solution to the equation \( \sqrt{x-4}+9=14 \) is \( x=29 \).