x^4-15.173x^2-0.00801=0

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Solution for x^4-15.173x^2-0.00801=0 equation: 


Simplifying
x4 + -15.173x2 + -0.00801 = 0

Reorder the terms:
-0.00801 + -15.173x2 + x4 = 0

Solving
-0.00801 + -15.173x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '0.00801' to each side of the equation.
-0.00801 + -15.173x2 + 0.00801 + x4 = 0 + 0.00801

Reorder the terms:
-0.00801 + 0.00801 + -15.173x2 + x4 = 0 + 0.00801

Combine like terms: -0.00801 + 0.00801 = 0.00000
0.00000 + -15.173x2 + x4 = 0 + 0.00801
-15.173x2 + x4 = 0 + 0.00801

Combine like terms: 0 + 0.00801 = 0.00801
-15.173x2 + x4 = 0.00801

The x term is -15.173x2.  Take half its coefficient (-7.5865).
Square it (57.55498225) and add it to both sides.

Add '57.55498225' to each side of the equation.
-15.173x2 + 57.55498225 + x4 = 0.00801 + 57.55498225

Reorder the terms:
57.55498225 + -15.173x2 + x4 = 0.00801 + 57.55498225

Combine like terms: 0.00801 + 57.55498225 = 57.56299225
57.55498225 + -15.173x2 + x4 = 57.56299225

Factor a perfect square on the left side:
(x2 + -7.5865)(x2 + -7.5865) = 57.56299225

Calculate the square root of the right side: 7.587027893

Break this problem into two subproblems by setting 
(x2 + -7.5865) equal to 7.587027893 and -7.587027893.


Subproblem 1
x2 + -7.5865 = 7.587027893

Simplifying
x2 + -7.5865 = 7.587027893

Reorder the terms:
-7.5865 + x2 = 7.587027893

Solving
-7.5865 + x2 = 7.587027893

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7.5865' to each side of the equation.
-7.5865 + 7.5865 + x2 = 7.587027893 + 7.5865

Combine like terms: -7.5865 + 7.5865 = 0.0000
0.0000 + x2 = 7.587027893 + 7.5865
x2 = 7.587027893 + 7.5865

Combine like terms: 7.587027893 + 7.5865 = 15.173527893
x2 = 15.173527893

Simplifying
x2 = 15.173527893

Take the square root of each side:
x = {-3.895321282, 3.895321282}


Subproblem 2
x2 + -7.5865 = -7.587027893

Simplifying
x2 + -7.5865 = -7.587027893

Reorder the terms:
-7.5865 + x2 = -7.587027893

Solving
-7.5865 + x2 = -7.587027893

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7.5865' to each side of the equation.
-7.5865 + 7.5865 + x2 = -7.587027893 + 7.5865

Combine like terms: -7.5865 + 7.5865 = 0.0000
0.0000 + x2 = -7.587027893 + 7.5865
x2 = -7.587027893 + 7.5865

Combine like terms: -7.587027893 + 7.5865 = -0.000527893
x2 = -0.000527893

Simplifying
x2 = -0.000527893

Reorder the terms:
0.000527893 + x2 = -0.000527893 + 0.000527893

Combine like terms: -0.000527893 + 0.000527893 = 0.000000000
0.000527893 + x2 = 0.000000000

The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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