b^4-5b^2+36=0

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Solution for b^4-5b^2+36=0 equation:


Simplifying
b4 + -5b2 + 36 = 0

Reorder the terms:
36 + -5b2 + b4 = 0

Solving
36 + -5b2 + b4 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -5b2 + -36 + b4 = 0 + -36

Reorder the terms:
36 + -36 + -5b2 + b4 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -5b2 + b4 = 0 + -36
-5b2 + b4 = 0 + -36

Combine like terms: 0 + -36 = -36
-5b2 + b4 = -36

The b term is -5b2.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5b2 + 6.25 + b4 = -36 + 6.25

Reorder the terms:
6.25 + -5b2 + b4 = -36 + 6.25

Combine like terms: -36 + 6.25 = -29.75
6.25 + -5b2 + b4 = -29.75

Factor a perfect square on the left side:
(b2 + -2.5)(b2 + -2.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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