8x^8+2x^4+9=0

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Solution for 8x^8+2x^4+9=0 equation:


Simplifying
8x8 + 2x4 + 9 = 0

Reorder the terms:
9 + 2x4 + 8x8 = 0

Solving
9 + 2x4 + 8x8 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
1.125 + 0.25x4 + x8 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + 0.25x4 + -1.125 + x8 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + 0.25x4 + x8 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + 0.25x4 + x8 = 0 + -1.125
0.25x4 + x8 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
0.25x4 + x8 = -1.125

The x term is 0.25x4.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x4 + 0.015625 + x8 = -1.125 + 0.015625

Reorder the terms:
0.015625 + 0.25x4 + x8 = -1.125 + 0.015625

Combine like terms: -1.125 + 0.015625 = -1.109375
0.015625 + 0.25x4 + x8 = -1.109375

Factor a perfect square on the left side:
(x4 + 0.125)(x4 + 0.125) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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