y^2+2y+11=0

Solution for y^2+2y+11=0 equation:

Simplifying
y2 + 2y + 11 = 0

Reorder the terms:
11 + 2y + y2 = 0

Solving
11 + 2y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 2y + -11 + y2 = 0 + -11

Reorder the terms:
11 + -11 + 2y + y2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2y + y2 = 0 + -11
2y + y2 = 0 + -11

Combine like terms: 0 + -11 = -11
2y + y2 = -11

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

Add '1' to each side of the equation.
2y + 1 + y2 = -11 + 1

Reorder the terms:
1 + 2y + y2 = -11 + 1

Combine like terms: -11 + 1 = -10
1 + 2y + y2 = -10

Factor a perfect square on the left side:
(y + 1)(y + 1) = -10

Can't calculate square root of the right side.

The solution to this equation could not be determined.