13x^4+9x^2+2=0

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Solution for 13x^4+9x^2+2=0 equation:


Simplifying
13x4 + 9x2 + 2 = 0

Reorder the terms:
2 + 9x2 + 13x4 = 0

Solving
2 + 9x2 + 13x4 = 0

Solving for variable 'x'.

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

Divide each side by '13'.
0.1538461538 + 0.6923076923x2 + x4 = 0

Move the constant term to the right:

Add '-0.1538461538' to each side of the equation.
0.1538461538 + 0.6923076923x2 + -0.1538461538 + x4 = 0 + -0.1538461538

Reorder the terms:
0.1538461538 + -0.1538461538 + 0.6923076923x2 + x4 = 0 + -0.1538461538

Combine like terms: 0.1538461538 + -0.1538461538 = 0.0000000000
0.0000000000 + 0.6923076923x2 + x4 = 0 + -0.1538461538
0.6923076923x2 + x4 = 0 + -0.1538461538

Combine like terms: 0 + -0.1538461538 = -0.1538461538
0.6923076923x2 + x4 = -0.1538461538

The x term is 0.6923076923x2.  Take half its coefficient (0.3461538462).
Square it (0.1198224852) and add it to both sides.

Add '0.1198224852' to each side of the equation.
0.6923076923x2 + 0.1198224852 + x4 = -0.1538461538 + 0.1198224852

Reorder the terms:
0.1198224852 + 0.6923076923x2 + x4 = -0.1538461538 + 0.1198224852

Combine like terms: -0.1538461538 + 0.1198224852 = -0.0340236686
0.1198224852 + 0.6923076923x2 + x4 = -0.0340236686

Factor a perfect square on the left side:
(x2 + 0.3461538462)(x2 + 0.3461538462) = -0.0340236686

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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