17*17=a*a+15*15

Solution for 17*17=a*a+15*15 equation:

Simplifying
17 * 17 = a * a + 15 * 15

Multiply 17 * 17
289 = a * a + 15 * 15

Multiply a * a
289 = a2 + 15 * 15

Multiply 15 * 15
289 = a2 + 225

Reorder the terms:
289 = 225 + a2

Solving
289 = 225 + a2

Solving for variable 'a'.

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

Add '-1a2' to each side of the equation.
289 + -1a2 = 225 + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
289 + -1a2 = 225 + 0
289 + -1a2 = 225

Add '-289' to each side of the equation.
289 + -289 + -1a2 = 225 + -289

Combine like terms: 289 + -289 = 0
0 + -1a2 = 225 + -289
-1a2 = 225 + -289

Combine like terms: 225 + -289 = -64
-1a2 = -64

Divide each side by '-1'.
a2 = 64

Simplifying
a2 = 64

Take the square root of each side:
a = {-8, 8}