11=x^2-3+1

Solution for 11=x^2-3+1 equation:

Simplifying
11 = x2 + -3 + 1

Reorder the terms:
11 = -3 + 1 + x2

Combine like terms: -3 + 1 = -2
11 = -2 + x2

Solving
11 = -2 + 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.
11 + -1x2 = -2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11 + -1x2 = -2 + 0
11 + -1x2 = -2

Add '-11' to each side of the equation.
11 + -11 + -1x2 = -2 + -11

Combine like terms: 11 + -11 = 0
0 + -1x2 = -2 + -11
-1x2 = -2 + -11

Combine like terms: -2 + -11 = -13
-1x2 = -13

Divide each side by '-1'.
x2 = 13

Simplifying
x2 = 13

Take the square root of each side:
x = {-3.605551275, 3.605551275}