5*5+8.5*8.5=x^2

Solution for 5*5+8.5*8.5=x^2 equation:

Simplifying
5 * 5 + 8.5 * 8.5 = x2

Multiply 5 * 5
25 + 8.5 * 8.5 = x2

Multiply 8.5 * 8.5
25 + 72.25 = x2

Combine like terms: 25 + 72.25 = 97.25
97.25 = x2

Solving
97.25 = 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.
97.25 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
97.25 + -1x2 = 0

Add '-97.25' to each side of the equation.
97.25 + -97.25 + -1x2 = 0 + -97.25

Combine like terms: 97.25 + -97.25 = 0.00
0.00 + -1x2 = 0 + -97.25
-1x2 = 0 + -97.25

Combine like terms: 0 + -97.25 = -97.25
-1x2 = -97.25

Divide each side by '-1'.
x2 = 97.25

Simplifying
x2 = 97.25

Take the square root of each side:
x = {-9.861541462, 9.861541462}