(31*31)+(46*46)=x^2

Solution for (31*31)+(46*46)=x^2 equation:

Simplifying
(31 * 31) + (46 * 46) = x2

Multiply 31 * 31
(961) + (46 * 46) = x2
961 + (46 * 46) = x2

Multiply 46 * 46
961 + (2116) = x2
961 + 2116 = x2

Combine like terms: 961 + 2116 = 3077
3077 = x2

Solving
3077 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
3077 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3077 + -1x2 = 0

Add '-3077' to each side of the equation.
3077 + -3077 + -1x2 = 0 + -3077

Combine like terms: 3077 + -3077 = 0
0 + -1x2 = 0 + -3077
-1x2 = 0 + -3077

Combine like terms: 0 + -3077 = -3077
-1x2 = -3077

Divide each side by '-1'.
x2 = 3077

Simplifying
x2 = 3077

Take the square root of each side:
x = {-55.470712993, 55.470712993}