(15.25*15.25)+(8.25*8.25)=(c*c)

Solution for (15.25*15.25)+(8.25*8.25)=(c*c) equation:

Simplifying
(15.25 * 15.25) + (8.25 * 8.25) = (c * c)

Multiply 15.25 * 15.25
(232.5625) + (8.25 * 8.25) = (c * c)
232.5625 + (8.25 * 8.25) = (c * c)

Multiply 8.25 * 8.25
232.5625 + (68.0625) = (c * c)
232.5625 + 68.0625 = (c * c)

Combine like terms: 232.5625 + 68.0625 = 300.625
300.625 = (c * c)

Multiply c * c
300.625 = (c2)
300.625 = c2

Solving
300.625 = 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.
300.625 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
300.625 + -1c2 = 0

Add '-300.625' to each side of the equation.
300.625 + -300.625 + -1c2 = 0 + -300.625

Combine like terms: 300.625 + -300.625 = 0.000
0.000 + -1c2 = 0 + -300.625
-1c2 = 0 + -300.625

Combine like terms: 0 + -300.625 = -300.625
-1c2 = -300.625

Divide each side by '-1'.
c2 = 300.625

Simplifying
c2 = 300.625

Take the square root of each side:
c = {-17.338540884, 17.338540884}