x*x+0.5=5.67

Solution for x*x+0.5=5.67 equation:

Simplifying
x * x + 0.5 = 5.67

Multiply x * x
x2 + 0.5 = 5.67

Reorder the terms:
0.5 + x2 = 5.67

Solving
0.5 + x2 = 5.67

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x2 = 5.67 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x2 = 5.67 + -0.5
x2 = 5.67 + -0.5

Combine like terms: 5.67 + -0.5 = 5.17
x2 = 5.17

Simplifying
x2 = 5.17

Take the square root of each side:
x = {-2.2737634, 2.2737634}