# Solve Using the Square Root Property (x-7)^2-45=0

Add to both sides of the equation.
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 .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
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.
Add to both sides of the equation.
Next, use the negative value of the to find the second solution.
Add to both sides of the equation.
The complete solution is the result of both the positive and negative portions of the solution.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve Using the Square Root Property (x-7)^2-45=0

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