(5*5)+(17*17)=(c*c)

Solution for (5*5)+(17*17)=(c*c) equation:

Simplifying
(5 * 5) + (17 * 17) = (c * c)

Multiply 5 * 5
(25) + (17 * 17) = (c * c)
25 + (17 * 17) = (c * c)

Multiply 17 * 17
25 + (289) = (c * c)
25 + 289 = (c * c)

Combine like terms: 25 + 289 = 314
314 = (c * c)

Multiply c * c
314 = (c2)
314 = c2

Solving
314 = 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.
314 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
314 + -1c2 = 0

Add '-314' to each side of the equation.
314 + -314 + -1c2 = 0 + -314

Combine like terms: 314 + -314 = 0
0 + -1c2 = 0 + -314
-1c2 = 0 + -314

Combine like terms: 0 + -314 = -314
-1c2 = -314

Divide each side by '-1'.
c2 = 314

Simplifying
c2 = 314

Take the square root of each side:
c = {-17.720045147, 17.720045147}