(16X*16X)+(10X*10X)=113*113

Solution for (16X*16X)+(10X*10X)=113*113 equation:

Simplifying
(16X * 16X) + (10X * 10X) = 113 * 113

Reorder the terms for easier multiplication:
(16 * 16X * X) + (10X * 10X) = 113 * 113

Multiply 16 * 16
(256X * X) + (10X * 10X) = 113 * 113

Multiply X * X
(256X2) + (10X * 10X) = 113 * 113

Reorder the terms for easier multiplication:
(256X2) + (10 * 10X * X) = 113 * 113

Multiply 10 * 10
(256X2) + (100X * X) = 113 * 113

Multiply X * X
(256X2) + (100X2) = 113 * 113

Combine like terms: (256X2) + (100X2) = 356X2
356X2 = 113 * 113

Multiply 113 * 113
356X2 = 12769

Solving
356X2 = 12769

Solving for variable 'X'.

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

Divide each side by '356'.
X2 = 35.86797753

Simplifying
X2 = 35.86797753

Take the square root of each side:
X = {-5.988988022, 5.988988022}