x^2-4+1=0

Solution for x^2-4+1=0 equation:

Simplifying
x2 + -4 + 1 = 0

Reorder the terms:
-4 + 1 + x2 = 0

Combine like terms: -4 + 1 = -3
-3 + x2 = 0

Solving
-3 + x2 = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x2 = 0 + 3

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

Combine like terms: 0 + 3 = 3
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}