4x^4+25x^2+81=0

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Solution for 4x^4+25x^2+81=0 equation:


Simplifying
4x4 + 25x2 + 81 = 0

Reorder the terms:
81 + 25x2 + 4x4 = 0

Solving
81 + 25x2 + 4x4 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
20.25 + 6.25x2 + x4 = 0

Move the constant term to the right:

Add '-20.25' to each side of the equation.
20.25 + 6.25x2 + -20.25 + x4 = 0 + -20.25

Reorder the terms:
20.25 + -20.25 + 6.25x2 + x4 = 0 + -20.25

Combine like terms: 20.25 + -20.25 = 0.00
0.00 + 6.25x2 + x4 = 0 + -20.25
6.25x2 + x4 = 0 + -20.25

Combine like terms: 0 + -20.25 = -20.25
6.25x2 + x4 = -20.25

The x term is 6.25x2.  Take half its coefficient (3.125).
Square it (9.765625) and add it to both sides.

Add '9.765625' to each side of the equation.
6.25x2 + 9.765625 + x4 = -20.25 + 9.765625

Reorder the terms:
9.765625 + 6.25x2 + x4 = -20.25 + 9.765625

Combine like terms: -20.25 + 9.765625 = -10.484375
9.765625 + 6.25x2 + x4 = -10.484375

Factor a perfect square on the left side:
(x2 + 3.125)(x2 + 3.125) = -10.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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