s^2+4s+13=0

Solution for s^2+4s+13=0 equation:

Simplifying
s2 + 4s + 13 = 0

Reorder the terms:
13 + 4s + s2 = 0

Solving
13 + 4s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + 4s + -13 + s2 = 0 + -13

Reorder the terms:
13 + -13 + 4s + s2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 4s + s2 = 0 + -13
4s + s2 = 0 + -13

Combine like terms: 0 + -13 = -13
4s + s2 = -13

The s term is 4s.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4s + 4 + s2 = -13 + 4

Reorder the terms:
4 + 4s + s2 = -13 + 4

Combine like terms: -13 + 4 = -9
4 + 4s + s2 = -9

Factor a perfect square on the left side:
(s + 2)(s + 2) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.