b^2-13b+55=0

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Solution for b^2-13b+55=0 equation:


Simplifying
b2 + -13b + 55 = 0

Reorder the terms:
55 + -13b + b2 = 0

Solving
55 + -13b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-55' to each side of the equation.
55 + -13b + -55 + b2 = 0 + -55

Reorder the terms:
55 + -55 + -13b + b2 = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -13b + b2 = 0 + -55
-13b + b2 = 0 + -55

Combine like terms: 0 + -55 = -55
-13b + b2 = -55

The b term is -13b.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13b + 42.25 + b2 = -55 + 42.25

Reorder the terms:
42.25 + -13b + b2 = -55 + 42.25

Combine like terms: -55 + 42.25 = -12.75
42.25 + -13b + b2 = -12.75

Factor a perfect square on the left side:
(b + -6.5)(b + -6.5) = -12.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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