# Solve Using the Square Root Property (x-2)^2=-25

Take the square root of each side of the equation to set up the solution for
Remove the perfect root factor under the radical to solve for .
Simplify the right side of the equation.
Rewrite as .
Rewrite as .
Rewrite as .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Move to the left of .
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Reorder and .
Next, use the negative value of the to find the second solution.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Reorder and .
The complete solution is the result of both the positive and negative portions of the solution.
Solve Using the Square Root Property (x-2)^2=-25