16x^4-18x^2+81=0

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Solution for 16x^4-18x^2+81=0 equation:


Simplifying
16x4 + -18x2 + 81 = 0

Reorder the terms:
81 + -18x2 + 16x4 = 0

Solving
81 + -18x2 + 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'.
5.0625 + -1.125x2 + x4 = 0

Move the constant term to the right:

Add '-5.0625' to each side of the equation.
5.0625 + -1.125x2 + -5.0625 + x4 = 0 + -5.0625

Reorder the terms:
5.0625 + -5.0625 + -1.125x2 + x4 = 0 + -5.0625

Combine like terms: 5.0625 + -5.0625 = 0.0000
0.0000 + -1.125x2 + x4 = 0 + -5.0625
-1.125x2 + x4 = 0 + -5.0625

Combine like terms: 0 + -5.0625 = -5.0625
-1.125x2 + x4 = -5.0625

The x term is -1.125x2.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125x2 + 0.31640625 + x4 = -5.0625 + 0.31640625

Reorder the terms:
0.31640625 + -1.125x2 + x4 = -5.0625 + 0.31640625

Combine like terms: -5.0625 + 0.31640625 = -4.74609375
0.31640625 + -1.125x2 + x4 = -4.74609375

Factor a perfect square on the left side:
(x2 + -0.5625)(x2 + -0.5625) = -4.74609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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