x^2+x+11=0

Solution for x^2+x+11=0 equation:

Simplifying
x2 + x + 11 = 0

Reorder the terms:
11 + x + x2 = 0

Solving
11 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x + x2 = 0 + -11
x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
x + x2 = -11

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -11 + 0.25

Reorder the terms:
0.25 + x + x2 = -11 + 0.25

Combine like terms: -11 + 0.25 = -10.75
0.25 + x + x2 = -10.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -10.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.