# Solve for z 12^2+z^2=20^2 122+z2=202
Raise 12 to the power of 2.
144+z2=202
Raise 20 to the power of 2.
144+z2=400
Move all terms not containing z to the right side of the equation.
Subtract 144 from both sides of the equation.
z2=400-144
Subtract 144 from 400.
z2=256
z2=256
Take the square root of both sides of the equation to eliminate the exponent on the left side.
z=±256
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 256 as 162.
z=±162
Pull terms out from under the radical, assuming positive real numbers.
z=±16
z=±16
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.
z=16
Next, use the negative value of the ± to find the second solution.
z=-16
The complete solution is the result of both the positive and negative portions of the solution.
z=16,-16
z=16,-16
z=16,-16
Solve for z 12^2+z^2=20^2

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