61=x^2-3

Solution for 61=x^2-3 equation:

Simplifying
61 = x2 + -3

Reorder the terms:
61 = -3 + x2

Solving
61 = -3 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
61 + -1x2 = -3 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
61 + -1x2 = -3 + 0
61 + -1x2 = -3

Add '-61' to each side of the equation.
61 + -61 + -1x2 = -3 + -61

Combine like terms: 61 + -61 = 0
0 + -1x2 = -3 + -61
-1x2 = -3 + -61

Combine like terms: -3 + -61 = -64
-1x2 = -64

Divide each side by '-1'.
x2 = 64

Simplifying
x2 = 64

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