25x^4-27x^2+20=0

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Solution for 25x^4-27x^2+20=0 equation:


Simplifying
25x4 + -27x2 + 20 = 0

Reorder the terms:
20 + -27x2 + 25x4 = 0

Solving
20 + -27x2 + 25x4 = 0

Solving for variable 'x'.

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

Divide each side by '25'.
0.8 + -1.08x2 + x4 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -1.08x2 + -0.8 + x4 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -1.08x2 + x4 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1.08x2 + x4 = 0 + -0.8
-1.08x2 + x4 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-1.08x2 + x4 = -0.8

The x term is -1.08x2.  Take half its coefficient (-0.54).
Square it (0.2916) and add it to both sides.

Add '0.2916' to each side of the equation.
-1.08x2 + 0.2916 + x4 = -0.8 + 0.2916

Reorder the terms:
0.2916 + -1.08x2 + x4 = -0.8 + 0.2916

Combine like terms: -0.8 + 0.2916 = -0.5084
0.2916 + -1.08x2 + x4 = -0.5084

Factor a perfect square on the left side:
(x2 + -0.54)(x2 + -0.54) = -0.5084

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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