s^2+2s+17=0

Solution for s^2+2s+17=0 equation:

Simplifying
s2 + 2s + 17 = 0

Reorder the terms:
17 + 2s + s2 = 0

Solving
17 + 2s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 2s + -17 + s2 = 0 + -17

Reorder the terms:
17 + -17 + 2s + s2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 2s + s2 = 0 + -17
2s + s2 = 0 + -17

Combine like terms: 0 + -17 = -17
2s + s2 = -17

The s term is 2s.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2s + 1 + s2 = -17 + 1

Reorder the terms:
1 + 2s + s2 = -17 + 1

Combine like terms: -17 + 1 = -16
1 + 2s + s2 = -16

Factor a perfect square on the left side:
(s + 1)(s + 1) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.