3=z^2+1

Solution for 3=z^2+1 equation:

Simplifying
3 = z2 + 1

Reorder the terms:
3 = 1 + z2

Solving
3 = 1 + z2

Solving for variable 'z'.

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

Add '-1z2' to each side of the equation.
3 + -1z2 = 1 + z2 + -1z2

Combine like terms: z2 + -1z2 = 0
3 + -1z2 = 1 + 0
3 + -1z2 = 1

Add '-3' to each side of the equation.
3 + -3 + -1z2 = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -1z2 = 1 + -3
-1z2 = 1 + -3

Combine like terms: 1 + -3 = -2
-1z2 = -2

Divide each side by '-1'.
z2 = 2

Simplifying
z2 = 2

Take the square root of each side:
z = {-1.414213562, 1.414213562}