X^4+-5X^2+-5=0

Simple and best practice solution for X^4+-5X^2+-5=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+-5X^2+-5=0 equation: 


Simplifying
X4 + -5X2 + -5 = 0

Reorder the terms:
-5 + -5X2 + X4 = 0

Solving
-5 + -5X2 + X4 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + -5X2 + 5 + X4 = 0 + 5

Reorder the terms:
-5 + 5 + -5X2 + X4 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -5X2 + X4 = 0 + 5
-5X2 + X4 = 0 + 5

Combine like terms: 0 + 5 = 5
-5X2 + X4 = 5

The X term is -5X2.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5X2 + 6.25 + X4 = 5 + 6.25

Reorder the terms:
6.25 + -5X2 + X4 = 5 + 6.25

Combine like terms: 5 + 6.25 = 11.25
6.25 + -5X2 + X4 = 11.25

Factor a perfect square on the left side:
(X2 + -2.5)(X2 + -2.5) = 11.25

Calculate the square root of the right side: 3.354101966

Break this problem into two subproblems by setting 
(X2 + -2.5) equal to 3.354101966 and -3.354101966.


Subproblem 1
X2 + -2.5 = 3.354101966

Simplifying
X2 + -2.5 = 3.354101966

Reorder the terms:
-2.5 + X2 = 3.354101966

Solving
-2.5 + X2 = 3.354101966

Solving for variable 'X'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + X2 = 3.354101966 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + X2 = 3.354101966 + 2.5
X2 = 3.354101966 + 2.5

Combine like terms: 3.354101966 + 2.5 = 5.854101966
X2 = 5.854101966

Simplifying
X2 = 5.854101966

Take the square root of each side:
X = {-2.419525153, 2.419525153}


Subproblem 2
X2 + -2.5 = -3.354101966

Simplifying
X2 + -2.5 = -3.354101966

Reorder the terms:
-2.5 + X2 = -3.354101966

Solving
-2.5 + X2 = -3.354101966

Solving for variable 'X'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + X2 = -3.354101966 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + X2 = -3.354101966 + 2.5
X2 = -3.354101966 + 2.5

Combine like terms: -3.354101966 + 2.5 = -0.854101966
X2 = -0.854101966

Simplifying
X2 = -0.854101966

Reorder the terms:
0.854101966 + X2 = -0.854101966 + 0.854101966

Combine like terms: -0.854101966 + 0.854101966 = 0.000000000
0.854101966 + 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:

| 4-2(3-7)= | | b+4.5=40 | | 0=5.8+3(t) | | 8(7cx+y)=55cx-6y | | 7y-10y= | | 0.05*80= | | 11g=12.1g+14.52 | | 6m^2-5mn-21n^2=0 | | 0.50x+31.5=33.5 | | 96/n=-8 | | 13z+z-3z-9z-z=10 | | 2X-18=2(1-X) | | 18-3y=-57 | | 1/10÷(5÷1/2)= | | 2.7f+18.62=4.7f+2.66+9.4f | | 30+6x=4(4x-5) | | 15m^2+26mn-21n^2=0 | | 5/8=1/2x | | 1/10÷(5÷1/2= | | 6/7÷3 | | 8x-10+x=41 | | -2.16+19.2w=19.5w | | 6+2(g+4)=-11g+4(g+9)+15 | | 10v-7v-2v=18 | | 5(5n+2)= | | -3x(-2x+5)=0 | | -x+3(17.85)=24 | | 7(2a+1.7)=3(4a-6.3) | | 2m-3=-20+3m | | -3(-2x+5)=0 | | Y=-5x+33 | | ln(7x+8)-ln(4x)=5 |

Equations solver categories