4*4+10.78*10.78=x*x

Solution for 4*4+10.78*10.78=x*x equation:

Simplifying
4 * 4 + 10.78 * 10.78 = x * x

Multiply 4 * 4
16 + 10.78 * 10.78 = x * x

Multiply 10.78 * 10.78
16 + 116.2084 = x * x

Combine like terms: 16 + 116.2084 = 132.2084
132.2084 = x * x

Multiply x * x
132.2084 = x2

Solving
132.2084 = 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.
132.2084 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
132.2084 + -1x2 = 0

Add '-132.2084' to each side of the equation.
132.2084 + -132.2084 + -1x2 = 0 + -132.2084

Combine like terms: 132.2084 + -132.2084 = 0.0000
0.0000 + -1x2 = 0 + -132.2084
-1x2 = 0 + -132.2084

Combine like terms: 0 + -132.2084 = -132.2084
-1x2 = -132.2084

Divide each side by '-1'.
x2 = 132.2084

Simplifying
x2 = 132.2084

Take the square root of each side:
x = {-11.498191162, 11.498191162}