(24*24)+(a*a)=(30*30)

Solution for (24*24)+(a*a)=(30*30) equation:

Simplifying
(24 * 24) + (a * a) = (30 * 30)

Multiply 24 * 24
(576) + (a * a) = (30 * 30)
576 + (a * a) = (30 * 30)

Multiply a * a
576 + (a2) = (30 * 30)
576 + a2 = (30 * 30)

Multiply 30 * 30
576 + a2 = (900)
576 + a2 = 900

Solving
576 + a2 = 900

Solving for variable 'a'.

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

Add '-576' to each side of the equation.
576 + -576 + a2 = 900 + -576

Combine like terms: 576 + -576 = 0
0 + a2 = 900 + -576
a2 = 900 + -576

Combine like terms: 900 + -576 = 324
a2 = 324

Simplifying
a2 = 324

Take the square root of each side:
a = {-18, 18}