x^2+x+91=0

Solution for x^2+x+91=0 equation:

Simplifying
x2 + x + 91 = 0

Reorder the terms:
91 + x + x2 = 0

Solving
91 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-91' to each side of the equation.
91 + x + -91 + x2 = 0 + -91

Reorder the terms:
91 + -91 + x + x2 = 0 + -91

Combine like terms: 91 + -91 = 0
0 + x + x2 = 0 + -91
x + x2 = 0 + -91

Combine like terms: 0 + -91 = -91
x + x2 = -91

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 = -91 + 0.25

Reorder the terms:
0.25 + x + x2 = -91 + 0.25

Combine like terms: -91 + 0.25 = -90.75
0.25 + x + x2 = -90.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -90.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.