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

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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 $$ x=29 $$.
$$ x=29 $$

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

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