-16x^4+x^2-11=0

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Solution for -16x^4+x^2-11=0 equation:


Simplifying
-16x4 + x2 + -11 = 0

Reorder the terms:
-11 + x2 + -16x4 = 0

Solving
-11 + x2 + -16x4 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
0.6875 + -0.0625x2 + x4 = 0

Move the constant term to the right:

Add '-0.6875' to each side of the equation.
0.6875 + -0.0625x2 + -0.6875 + x4 = 0 + -0.6875

Reorder the terms:
0.6875 + -0.6875 + -0.0625x2 + x4 = 0 + -0.6875

Combine like terms: 0.6875 + -0.6875 = 0.0000
0.0000 + -0.0625x2 + x4 = 0 + -0.6875
-0.0625x2 + x4 = 0 + -0.6875

Combine like terms: 0 + -0.6875 = -0.6875
-0.0625x2 + x4 = -0.6875

The x term is x2.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.0625x2 + 0.25 + x4 = -0.6875 + 0.25

Reorder the terms:
0.25 + -0.0625x2 + x4 = -0.6875 + 0.25

Combine like terms: -0.6875 + 0.25 = -0.4375
0.25 + -0.0625x2 + x4 = -0.4375

Factor a perfect square on the left side:
(x2 + 0.5)(x2 + 0.5) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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