(4x^4)-(x^2)+4=0

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


Simplifying
(4x4) + -1(x2) + 4 = 0

Reorder the terms:
4 + -1x2 + (4x4) = 0

Solving
4 + -1x2 + (4x4) = 0

Solving for variable 'x'.

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

Divide each side by '4'.
1 + -0.25x2 + x4 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.25x2 + -1 + x4 = 0 + -1

Reorder the terms:
1 + -1 + -0.25x2 + x4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.25x2 + x4 = 0 + -1
-0.25x2 + x4 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.25x2 + x4 = -1

The x term is -0.25x2.  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.
-0.25x2 + 0.015625 + x4 = -1 + 0.015625

Reorder the terms:
0.015625 + -0.25x2 + x4 = -1 + 0.015625

Combine like terms: -1 + 0.015625 = -0.984375
0.015625 + -0.25x2 + x4 = -0.984375

Factor a perfect square on the left side:
((x2) + -0.125)((x2) + -0.125) = -0.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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