F^4-5F^2=-19

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Solution for F^4-5F^2=-19 equation: 


Simplifying
F4 + -5F2 = -19

Reorder the terms:
-5F2 + F4 = -19

Solving
-5F2 + F4 = -19

Solving for variable 'F'.

Reorder the terms:
19 + -5F2 + F4 = -19 + 19

Combine like terms: -19 + 19 = 0
19 + -5F2 + F4 = 0

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + -5F2 + -19 + F4 = 0 + -19

Reorder the terms:
19 + -19 + -5F2 + F4 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -5F2 + F4 = 0 + -19
-5F2 + F4 = 0 + -19

Combine like terms: 0 + -19 = -19
-5F2 + F4 = -19

The F term is -5F2.  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.
-5F2 + 6.25 + F4 = -19 + 6.25

Reorder the terms:
6.25 + -5F2 + F4 = -19 + 6.25

Combine like terms: -19 + 6.25 = -12.75
6.25 + -5F2 + F4 = -12.75

Factor a perfect square on the left side:
(F2 + -2.5)(F2 + -2.5) = -12.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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