7x^8-x^4+2=0

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Solution for 7x^8-x^4+2=0 equation:


Simplifying
7x8 + -1x4 + 2 = 0

Reorder the terms:
2 + -1x4 + 7x8 = 0

Solving
2 + -1x4 + 7x8 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
0.2857142857 + -0.1428571429x4 + x8 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -0.1428571429x4 + -0.2857142857 + x8 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -0.1428571429x4 + x8 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -0.1428571429x4 + x8 = 0 + -0.2857142857
-0.1428571429x4 + x8 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-0.1428571429x4 + x8 = -0.2857142857

The x term is -0.1428571429x4.  Take half its coefficient (-0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
-0.1428571429x4 + 0.005102040819 + x8 = -0.2857142857 + 0.005102040819

Reorder the terms:
0.005102040819 + -0.1428571429x4 + x8 = -0.2857142857 + 0.005102040819

Combine like terms: -0.2857142857 + 0.005102040819 = -0.280612244881
0.005102040819 + -0.1428571429x4 + x8 = -0.280612244881

Factor a perfect square on the left side:
(x4 + -0.07142857145)(x4 + -0.07142857145) = -0.280612244881

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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