b^2+2b+11=0

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


Simplifying
b2 + 2b + 11 = 0

Reorder the terms:
11 + 2b + b2 = 0

Solving
11 + 2b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 2b + -11 + b2 = 0 + -11

Reorder the terms:
11 + -11 + 2b + b2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2b + b2 = 0 + -11
2b + b2 = 0 + -11

Combine like terms: 0 + -11 = -11
2b + b2 = -11

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

Add '1' to each side of the equation.
2b + 1 + b2 = -11 + 1

Reorder the terms:
1 + 2b + b2 = -11 + 1

Combine like terms: -11 + 1 = -10
1 + 2b + b2 = -10

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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