Solve for z 10^2+z^2=11^2

Math
102+z2=112
Raise 10 to the power of 2.
100+z2=112
Raise 11 to the power of 2.
100+z2=121
Move all terms not containing z to the right side of the equation.
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Subtract 100 from both sides of the equation.
z2=121-100
Subtract 100 from 121.
z2=21
z2=21
Take the square root of both sides of the equation to eliminate the exponent on the left side.
z=±21
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the ± to find the first solution.
z=21
Next, use the negative value of the ± to find the second solution.
z=-21
The complete solution is the result of both the positive and negative portions of the solution.
z=21,-21
z=21,-21
The result can be shown in multiple forms.
Exact Form:
z=21,-21
Decimal Form:
z=4.58257569…,-4.58257569…
Solve for z 10^2+z^2=11^2

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