(x*x)+(9*9)=(11*11)

Solution for (x*x)+(9*9)=(11*11) equation:

Simplifying
(x * x) + (9 * 9) = (11 * 11)

Multiply x * x
(x2) + (9 * 9) = (11 * 11)
x2 + (9 * 9) = (11 * 11)

Multiply 9 * 9
x2 + (81) = (11 * 11)
x2 + 81 = (11 * 11)

Reorder the terms:
81 + x2 = (11 * 11)

Multiply 11 * 11
81 + x2 = (121)
81 + x2 = 121

Solving
81 + x2 = 121

Solving for variable 'x'.

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

Add '-81' to each side of the equation.
81 + -81 + x2 = 121 + -81

Combine like terms: 81 + -81 = 0
0 + x2 = 121 + -81
x2 = 121 + -81

Combine like terms: 121 + -81 = 40
x2 = 40

Simplifying
x2 = 40

Take the square root of each side:
x = {-6.32455532, 6.32455532}