b^2+11b+121=0

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Solution for b^2+11b+121=0 equation:


Simplifying
b2 + 11b + 121 = 0

Reorder the terms:
121 + 11b + b2 = 0

Solving
121 + 11b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-121' to each side of the equation.
121 + 11b + -121 + b2 = 0 + -121

Reorder the terms:
121 + -121 + 11b + b2 = 0 + -121

Combine like terms: 121 + -121 = 0
0 + 11b + b2 = 0 + -121
11b + b2 = 0 + -121

Combine like terms: 0 + -121 = -121
11b + b2 = -121

The b term is 11b.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11b + 30.25 + b2 = -121 + 30.25

Reorder the terms:
30.25 + 11b + b2 = -121 + 30.25

Combine like terms: -121 + 30.25 = -90.75
30.25 + 11b + b2 = -90.75

Factor a perfect square on the left side:
(b + 5.5)(b + 5.5) = -90.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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