5(5)+13(13)=c^2

Solution for 5(5)+13(13)=c^2 equation:

Simplifying
5(5) + 13(13) = c2

Multiply 5 * 5
25 + 13(13) = c2

Multiply 13 * 13
25 + 169 = c2

Combine like terms: 25 + 169 = 194
194 = c2

Solving
194 = 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.
194 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
194 + -1c2 = 0

Add '-194' to each side of the equation.
194 + -194 + -1c2 = 0 + -194

Combine like terms: 194 + -194 = 0
0 + -1c2 = 0 + -194
-1c2 = 0 + -194

Combine like terms: 0 + -194 = -194
-1c2 = -194

Divide each side by '-1'.
c2 = 194

Simplifying
c2 = 194

Take the square root of each side:
c = {-13.928388277, 13.928388277}