# Solve Using the Square Root Property 9^2+11^2=x^2 92+112=x2
Rewrite the equation as x2=92+112.
x2=92+112
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±92+112
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Raise 9 to the power of 2.
x=±81+112
Raise 11 to the power of 2.
x=±81+121
Add 81 and 121.
x=±202
x=±202
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.
x=202
Next, use the negative value of the ± to find the second solution.
x=-202
The complete solution is the result of both the positive and negative portions of the solution.
x=202,-202
x=202,-202
x=202,-202
The result can be shown in multiple forms.
Exact Form:
x=202,-202
Decimal Form:
x=14.21267040…,-14.21267040…
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