X^6-2X^3+2=0

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Solution for X^6-2X^3+2=0 equation:


Simplifying
X6 + -2X3 + 2 = 0

Reorder the terms:
2 + -2X3 + X6 = 0

Solving
2 + -2X3 + X6 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2X3 + -2 + X6 = 0 + -2

Reorder the terms:
2 + -2 + -2X3 + X6 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2X3 + X6 = 0 + -2
-2X3 + X6 = 0 + -2

Combine like terms: 0 + -2 = -2
-2X3 + X6 = -2

The X term is -2X3.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2X3 + 1 + X6 = -2 + 1

Reorder the terms:
1 + -2X3 + X6 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + -2X3 + X6 = -1

Factor a perfect square on the left side:
(X3 + -1)(X3 + -1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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