3x^4-29x^2+73=0

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Solution for 3x^4-29x^2+73=0 equation: 


Simplifying
3x4 + -29x2 + 73 = 0

Reorder the terms:
73 + -29x2 + 3x4 = 0

Solving
73 + -29x2 + 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'.
24.33333333 + -9.666666667x2 + x4 = 0

Move the constant term to the right:

Add '-24.33333333' to each side of the equation.
24.33333333 + -9.666666667x2 + -24.33333333 + x4 = 0 + -24.33333333

Reorder the terms:
24.33333333 + -24.33333333 + -9.666666667x2 + x4 = 0 + -24.33333333

Combine like terms: 24.33333333 + -24.33333333 = 0.00000000
0.00000000 + -9.666666667x2 + x4 = 0 + -24.33333333
-9.666666667x2 + x4 = 0 + -24.33333333

Combine like terms: 0 + -24.33333333 = -24.33333333
-9.666666667x2 + x4 = -24.33333333

The x term is -9.666666667x2.  Take half its coefficient (-4.833333334).
Square it (23.36111112) and add it to both sides.

Add '23.36111112' to each side of the equation.
-9.666666667x2 + 23.36111112 + x4 = -24.33333333 + 23.36111112

Reorder the terms:
23.36111112 + -9.666666667x2 + x4 = -24.33333333 + 23.36111112

Combine like terms: -24.33333333 + 23.36111112 = -0.97222221
23.36111112 + -9.666666667x2 + x4 = -0.97222221

Factor a perfect square on the left side:
(x2 + -4.833333334)(x2 + -4.833333334) = -0.97222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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