(15.5*15.5)+(8.5*8.5)=(c*c)

Solution for (15.5*15.5)+(8.5*8.5)=(c*c) equation:

Simplifying
(15.5 * 15.5) + (8.5 * 8.5) = (c * c)

Multiply 15.5 * 15.5
(240.25) + (8.5 * 8.5) = (c * c)
240.25 + (8.5 * 8.5) = (c * c)

Multiply 8.5 * 8.5
240.25 + (72.25) = (c * c)
240.25 + 72.25 = (c * c)

Combine like terms: 240.25 + 72.25 = 312.5
312.5 = (c * c)

Multiply c * c
312.5 = (c2)
312.5 = c2

Solving
312.5 = 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.
312.5 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
312.5 + -1c2 = 0

Add '-312.5' to each side of the equation.
312.5 + -312.5 + -1c2 = 0 + -312.5

Combine like terms: 312.5 + -312.5 = 0.0
0.0 + -1c2 = 0 + -312.5
-1c2 = 0 + -312.5

Combine like terms: 0 + -312.5 = -312.5
-1c2 = -312.5

Divide each side by '-1'.
c2 = 312.5

Simplifying
c2 = 312.5

Take the square root of each side:
c = {-17.67766953, 17.67766953}