102+z2=112

Raise 10 to the power of 2.

100+z2=112

Raise 11 to the power of 2.

100+z2=121

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

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