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

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


Simplifying
6x4 + -1x2 + 9 = 0

Reorder the terms:
9 + -1x2 + 6x4 = 0

Solving
9 + -1x2 + 6x4 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
1.5 + -0.1666666667x2 + x4 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.1666666667x2 + -1.5 + x4 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.1666666667x2 + x4 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.1666666667x2 + x4 = 0 + -1.5
-0.1666666667x2 + x4 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.1666666667x2 + x4 = -1.5

The x term is -0.1666666667x2.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x2 + 0.006944444447 + x4 = -1.5 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x2 + x4 = -1.5 + 0.006944444447

Combine like terms: -1.5 + 0.006944444447 = -1.493055555553
0.006944444447 + -0.1666666667x2 + x4 = -1.493055555553

Factor a perfect square on the left side:
(x2 + -0.08333333335)(x2 + -0.08333333335) = -1.493055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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