4x^4+11x^2+25=0

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Solution for 4x^4+11x^2+25=0 equation:


Simplifying
4x4 + 11x2 + 25 = 0

Reorder the terms:
25 + 11x2 + 4x4 = 0

Solving
25 + 11x2 + 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'.
6.25 + 2.75x2 + x4 = 0

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + 2.75x2 + -6.25 + x4 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + 2.75x2 + x4 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + 2.75x2 + x4 = 0 + -6.25
2.75x2 + x4 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
2.75x2 + x4 = -6.25

The x term is 2.75x2.  Take half its coefficient (1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
2.75x2 + 1.890625 + x4 = -6.25 + 1.890625

Reorder the terms:
1.890625 + 2.75x2 + x4 = -6.25 + 1.890625

Combine like terms: -6.25 + 1.890625 = -4.359375
1.890625 + 2.75x2 + x4 = -4.359375

Factor a perfect square on the left side:
(x2 + 1.375)(x2 + 1.375) = -4.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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