s^2-s+31=0

Solution for s^2-s+31=0 equation:

Simplifying
s2 + -1s + 31 = 0

Reorder the terms:
31 + -1s + s2 = 0

Solving
31 + -1s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-31' to each side of the equation.
31 + -1s + -31 + s2 = 0 + -31

Reorder the terms:
31 + -31 + -1s + s2 = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -1s + s2 = 0 + -31
-1s + s2 = 0 + -31

Combine like terms: 0 + -31 = -31
-1s + s2 = -31

The s term is -1s.  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.
-1s + 0.25 + s2 = -31 + 0.25

Reorder the terms:
0.25 + -1s + s2 = -31 + 0.25

Combine like terms: -31 + 0.25 = -30.75
0.25 + -1s + s2 = -30.75

Factor a perfect square on the left side:
(s + -0.5)(s + -0.5) = -30.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.