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

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


Simplifying
x4 + -2x2 + 7 = 0

Reorder the terms:
7 + -2x2 + x4 = 0

Solving
7 + -2x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -2x2 + -7 + x4 = 0 + -7

Reorder the terms:
7 + -7 + -2x2 + x4 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x2 + x4 = 0 + -7
-2x2 + x4 = 0 + -7

Combine like terms: 0 + -7 = -7
-2x2 + x4 = -7

The x term is -2x2.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x2 + 1 + x4 = -7 + 1

Reorder the terms:
1 + -2x2 + x4 = -7 + 1

Combine like terms: -7 + 1 = -6
1 + -2x2 + x4 = -6

Factor a perfect square on the left side:
(x2 + -1)(x2 + -1) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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