x^4-4x^2-2=0

Simple and best practice solution for x^4-4x^2-2=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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


Simplifying
x4 + -4x2 + -2 = 0

Reorder the terms:
-2 + -4x2 + x4 = 0

Solving
-2 + -4x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -4x2 + 2 + x4 = 0 + 2

Reorder the terms:
-2 + 2 + -4x2 + x4 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -4x2 + x4 = 0 + 2
-4x2 + x4 = 0 + 2

Combine like terms: 0 + 2 = 2
-4x2 + x4 = 2

The x term is -4x2.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x2 + 4 + x4 = 2 + 4

Reorder the terms:
4 + -4x2 + x4 = 2 + 4

Combine like terms: 2 + 4 = 6
4 + -4x2 + x4 = 6

Factor a perfect square on the left side:
(x2 + -2)(x2 + -2) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(x2 + -2) equal to 2.449489743 and -2.449489743.

Subproblem 1

x2 + -2 = 2.449489743 Simplifying x2 + -2 = 2.449489743 Reorder the terms: -2 + x2 = 2.449489743 Solving -2 + x2 = 2.449489743 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x2 = 2.449489743 + 2 Combine like terms: -2 + 2 = 0 0 + x2 = 2.449489743 + 2 x2 = 2.449489743 + 2 Combine like terms: 2.449489743 + 2 = 4.449489743 x2 = 4.449489743 Simplifying x2 = 4.449489743 Take the square root of each side: x = {-2.109381365, 2.109381365}

Subproblem 2

x2 + -2 = -2.449489743 Simplifying x2 + -2 = -2.449489743 Reorder the terms: -2 + x2 = -2.449489743 Solving -2 + x2 = -2.449489743 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x2 = -2.449489743 + 2 Combine like terms: -2 + 2 = 0 0 + x2 = -2.449489743 + 2 x2 = -2.449489743 + 2 Combine like terms: -2.449489743 + 2 = -0.449489743 x2 = -0.449489743 Simplifying x2 = -0.449489743 Reorder the terms: 0.449489743 + x2 = -0.449489743 + 0.449489743 Combine like terms: -0.449489743 + 0.449489743 = 0.000000000 0.449489743 + 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.

See similar equations:

| 1.16y=y+1+0.5 | | 50-7x=20x+20 | | 5x+4=28x+12 | | 1.16y=y+1+0.3 | | 1.2=2x/3+5.1 | | 1.16y=y+1+1 | | x/5+8=6 | | -x^2+2x+58=-x+4 | | x/5+12=-20 | | 5x/2=11+2x/3 | | 3x^2y-6xy^2= | | 6x+13=69-3x | | 1/3(5-3x)=5/6(x-2) | | x-39=79 | | 6(3x-12)=54x | | 13x+12=5x+10 | | 5m+20=6m+12 | | -3(x-2.7)=1.8 | | 5y^2-17y+14= | | -5x^2-5x+10=-2x^2-4x+7 | | 7(x-3)=-4x+89 | | 8.4=-6(a+2.4) | | -3x^2-11x+5=-4x+6 | | 236-6x=39x+16 | | 5m=-2+3m | | m/6-1.5=-7 | | 6x+20=38 | | 4t-5tu= | | 4x-6=-16-7 | | 4-3x=-1x+4-2x | | r-1.3=1.1 | | 7x+3(x+4)=-18 |

Equations solver categories