9x^4+4x^2+81=0

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Solution for 9x^4+4x^2+81=0 equation:


Simplifying
9x4 + 4x2 + 81 = 0

Reorder the terms:
81 + 4x2 + 9x4 = 0

Solving
81 + 4x2 + 9x4 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
9 + 0.4444444444x2 + x4 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 0.4444444444x2 + -9 + x4 = 0 + -9

Reorder the terms:
9 + -9 + 0.4444444444x2 + x4 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 0.4444444444x2 + x4 = 0 + -9
0.4444444444x2 + x4 = 0 + -9

Combine like terms: 0 + -9 = -9
0.4444444444x2 + x4 = -9

The x term is 0.4444444444x2.  Take half its coefficient (0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
0.4444444444x2 + 0.04938271604 + x4 = -9 + 0.04938271604

Reorder the terms:
0.04938271604 + 0.4444444444x2 + x4 = -9 + 0.04938271604

Combine like terms: -9 + 0.04938271604 = -8.95061728396
0.04938271604 + 0.4444444444x2 + x4 = -8.95061728396

Factor a perfect square on the left side:
(x2 + 0.2222222222)(x2 + 0.2222222222) = -8.95061728396

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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