147x^4-x^2+128=0

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Solution for 147x^4-x^2+128=0 equation:


Simplifying
147x4 + -1x2 + 128 = 0

Reorder the terms:
128 + -1x2 + 147x4 = 0

Solving
128 + -1x2 + 147x4 = 0

Solving for variable 'x'.

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

Divide each side by '147'.
0.8707482993 + -0.006802721088x2 + x4 = 0

Move the constant term to the right:

Add '-0.8707482993' to each side of the equation.
0.8707482993 + -0.006802721088x2 + -0.8707482993 + x4 = 0 + -0.8707482993

Reorder the terms:
0.8707482993 + -0.8707482993 + -0.006802721088x2 + x4 = 0 + -0.8707482993

Combine like terms: 0.8707482993 + -0.8707482993 = 0.0000000000
0.0000000000 + -0.006802721088x2 + x4 = 0 + -0.8707482993
-0.006802721088x2 + x4 = 0 + -0.8707482993

Combine like terms: 0 + -0.8707482993 = -0.8707482993
-0.006802721088x2 + x4 = -0.8707482993

The x term is -0.006802721088x2.  Take half its coefficient (-0.003401360544).
Square it (0.00001156925355) and add it to both sides.

Add '0.00001156925355' to each side of the equation.
-0.006802721088x2 + 0.00001156925355 + x4 = -0.8707482993 + 0.00001156925355

Reorder the terms:
0.00001156925355 + -0.006802721088x2 + x4 = -0.8707482993 + 0.00001156925355

Combine like terms: -0.8707482993 + 0.00001156925355 = -0.87073673004645
0.00001156925355 + -0.006802721088x2 + x4 = -0.87073673004645

Factor a perfect square on the left side:
(x2 + -0.003401360544)(x2 + -0.003401360544) = -0.87073673004645

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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