Solve for $$ x $$, if possiblei (a) $$ \quad \sqrt{x-4}-5=0 $$

Question

UpStudy AI · Accepted Answer

Solve the equation $$ \sqrt{x-4}-5=0 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\sqrt{x-4}-5=0$$
- step1: Find the domain:
  $$\sqrt{x-4}-5=0,x\geq 4$$
- step2: Move the constant to the right side:
  $$\sqrt{x-4}=0+5$$
- step3: Remove 0:
  $$\sqrt{x-4}=5$$
- 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 $$ \sqrt{x-4}-5=0 $$ is $$ x=29 $$.
$$ x=29 $$

Solve for \( x \), if possiblei (a) \( \quad \sqrt{x-4}-5=0 \)

Real Tutor Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Algebra Questions