3x^4-5x^2+25=0

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Solution for 3x^4-5x^2+25=0 equation:


Simplifying
3x4 + -5x2 + 25 = 0

Reorder the terms:
25 + -5x2 + 3x4 = 0

Solving
25 + -5x2 + 3x4 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
8.333333333 + -1.666666667x2 + x4 = 0

Move the constant term to the right:

Add '-8.333333333' to each side of the equation.
8.333333333 + -1.666666667x2 + -8.333333333 + x4 = 0 + -8.333333333

Reorder the terms:
8.333333333 + -8.333333333 + -1.666666667x2 + x4 = 0 + -8.333333333

Combine like terms: 8.333333333 + -8.333333333 = 0.000000000
0.000000000 + -1.666666667x2 + x4 = 0 + -8.333333333
-1.666666667x2 + x4 = 0 + -8.333333333

Combine like terms: 0 + -8.333333333 = -8.333333333
-1.666666667x2 + x4 = -8.333333333

The x term is -1.666666667x2.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x2 + 0.6944444447 + x4 = -8.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x2 + x4 = -8.333333333 + 0.6944444447

Combine like terms: -8.333333333 + 0.6944444447 = -7.6388888883
0.6944444447 + -1.666666667x2 + x4 = -7.6388888883

Factor a perfect square on the left side:
(x2 + -0.8333333335)(x2 + -0.8333333335) = -7.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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