s^2+5s+11=0

Solution for s^2+5s+11=0 equation:

Simplifying
s2 + 5s + 11 = 0

Reorder the terms:
11 + 5s + s2 = 0

Solving
11 + 5s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 5s + -11 + s2 = 0 + -11

Reorder the terms:
11 + -11 + 5s + s2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5s + s2 = 0 + -11
5s + s2 = 0 + -11

Combine like terms: 0 + -11 = -11
5s + s2 = -11

The s term is 5s.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5s + 6.25 + s2 = -11 + 6.25

Reorder the terms:
6.25 + 5s + s2 = -11 + 6.25

Combine like terms: -11 + 6.25 = -4.75
6.25 + 5s + s2 = -4.75

Factor a perfect square on the left side:
(s + 2.5)(s + 2.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.