D^4+D^2+16=0

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Solution for D^4+D^2+16=0 equation:


Simplifying
D4 + D2 + 16 = 0

Reorder the terms:
16 + D2 + D4 = 0

Solving
16 + D2 + D4 = 0

Solving for variable 'D'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + D2 + -16 + D4 = 0 + -16

Reorder the terms:
16 + -16 + D2 + D4 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + D2 + D4 = 0 + -16
D2 + D4 = 0 + -16

Combine like terms: 0 + -16 = -16
D2 + D4 = -16

The D term is D2.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
D2 + 0.25 + D4 = -16 + 0.25

Reorder the terms:
0.25 + D2 + D4 = -16 + 0.25

Combine like terms: -16 + 0.25 = -15.75
0.25 + D2 + D4 = -15.75

Factor a perfect square on the left side:
(D2 + 0.5)(D2 + 0.5) = -15.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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