# Solve for A 12^2=A^2-9^2 122=A2-92
Rewrite the equation as A2-92=122.
A2-92=122
Simplify each term.
Raise 9 to the power of 2.
A2-1⋅81=122
Multiply -1 by 81.
A2-81=122
A2-81=122
Raise 12 to the power of 2.
A2-81=144
Move all terms not containing A to the right side of the equation.
Add 81 to both sides of the equation.
A2=144+81
Add 144 and 81.
A2=225
A2=225
Take the square root of both sides of the equation to eliminate the exponent on the left side.
A=±225
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 225 as 152.
A=±152
Pull terms out from under the radical, assuming positive real numbers.
A=±15
A=±15
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.
A=15
Next, use the negative value of the ± to find the second solution.
A=-15
The complete solution is the result of both the positive and negative portions of the solution.
A=15,-15
A=15,-15
A=15,-15
Solve for A 12^2=A^2-9^2

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