(8)(8)+(z)(z)=113

Solution for (8)(8)+(z)(z)=113 equation:

Simplifying
(8)(8) + (z)(z) = 113

Multiply 8 * 8
64 + (z)(z) = 113

Multiply z * z
64 + z2 = 113

Solving
64 + z2 = 113

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-64' to each side of the equation.
64 + -64 + z2 = 113 + -64

Combine like terms: 64 + -64 = 0
0 + z2 = 113 + -64
z2 = 113 + -64

Combine like terms: 113 + -64 = 49
z2 = 49

Simplifying
z2 = 49

Take the square root of each side:
z = {-7, 7}