b^2-3b+5=0

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Solution for b^2-3b+5=0 equation:


Simplifying
b2 + -3b + 5 = 0

Reorder the terms:
5 + -3b + b2 = 0

Solving
5 + -3b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -3b + -5 + b2 = 0 + -5

Reorder the terms:
5 + -5 + -3b + b2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3b + b2 = 0 + -5
-3b + b2 = 0 + -5

Combine like terms: 0 + -5 = -5
-3b + b2 = -5

The b term is -3b.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3b + 2.25 + b2 = -5 + 2.25

Reorder the terms:
2.25 + -3b + b2 = -5 + 2.25

Combine like terms: -5 + 2.25 = -2.75
2.25 + -3b + b2 = -2.75

Factor a perfect square on the left side:
(b + -1.5)(b + -1.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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