(8.5*8.5)+(5*5)=c*c

Solution for (8.5*8.5)+(5*5)=c*c equation:

Simplifying
(8.5 * 8.5) + (5 * 5) = c * c

Multiply 8.5 * 8.5
(72.25) + (5 * 5) = c * c
72.25 + (5 * 5) = c * c

Multiply 5 * 5
72.25 + (25) = c * c
72.25 + 25 = c * c

Combine like terms: 72.25 + 25 = 97.25
97.25 = c * c

Multiply c * c
97.25 = c2

Solving
97.25 = c2

Solving for variable 'c'.

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

Add '-1c2' to each side of the equation.
97.25 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
97.25 + -1c2 = 0

Add '-97.25' to each side of the equation.
97.25 + -97.25 + -1c2 = 0 + -97.25

Combine like terms: 97.25 + -97.25 = 0.00
0.00 + -1c2 = 0 + -97.25
-1c2 = 0 + -97.25

Combine like terms: 0 + -97.25 = -97.25
-1c2 = -97.25

Divide each side by '-1'.
c2 = 97.25

Simplifying
c2 = 97.25

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