2x^4+6x^2+9=0

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Solution for 2x^4+6x^2+9=0 equation:


Simplifying
2x4 + 6x2 + 9 = 0

Reorder the terms:
9 + 6x2 + 2x4 = 0

Solving
9 + 6x2 + 2x4 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
4.5 + 3x2 + x4 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + 3x2 + -4.5 + x4 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + 3x2 + x4 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 3x2 + x4 = 0 + -4.5
3x2 + x4 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
3x2 + x4 = -4.5

The x term is 3x2.  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.
3x2 + 2.25 + x4 = -4.5 + 2.25

Reorder the terms:
2.25 + 3x2 + x4 = -4.5 + 2.25

Combine like terms: -4.5 + 2.25 = -2.25
2.25 + 3x2 + x4 = -2.25

Factor a perfect square on the left side:
(x2 + 1.5)(x2 + 1.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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