n^4-6n^2+8=0

Simple and best practice solution for n^4-6n^2+8=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 n^4-6n^2+8=0 equation: 


Simplifying
n4 + -6n2 + 8 = 0

Reorder the terms:
8 + -6n2 + n4 = 0

Solving
8 + -6n2 + n4 = 0

Solving for variable 'n'.

Factor a trinomial.
(2 + -1n2)(4 + -1n2) = 0

Factor a difference between two squares.
(2 + -1n2)((2 + n)(2 + -1n)) = 0


Subproblem 1
Set the factor '(2 + -1n2)' equal to zero and attempt to solve:

Simplifying
2 + -1n2 = 0

Solving
2 + -1n2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n2 = 0 + -2
-1n2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1n2 = -2

Divide each side by '-1'.
n2 = 2

Simplifying
n2 = 2

Take the square root of each side:
n = {-1.414213562, 1.414213562}

Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 0

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

Add '-2' to each side of the equation.
2 + -2 + n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + n = 0 + -2
n = 0 + -2

Combine like terms: 0 + -2 = -2
n = -2

Simplifying
n = -2

Subproblem 3
Set the factor '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {-1.414213562, 1.414213562, -2, 2}

See similar equations:

| 8-m-11+m= | | -.24=.96-.6x | | (x-7)=9(1+3x) | | 3t-20+6t-2=8t-10+2t | | -2(2t+8)=-24 | | x^4-4x^3-7x^2+22x=-24 | | 80+2x=-10 | | (x-7)=1+3x | | a=264+26 | | 8-10x-25=25 | | -3(2T+9)=-51 | | 39=9b | | 39=pb | | 5(3s+4)=170 | | 2t(20-t)= | | 5(2l+9)=75 | | 19=-r+6+10 | | 2(a-9)=12 | | 0.15-0.2=0.3+0.9 | | (U-4)*10=70 | | 4x^4-12x^2+12=0 | | (3-2sinx)(3+2sinx)=5+4cos^2x | | (3-2sinx)(3+2sinx)=5+4sin^2x | | 6x+4y=70 | | 5+3(y+9)+2(3y+7)= | | 2p-7p=-20 | | 5y=5x+15 | | log[4](-7-5x)=1 | | 10(S-7)=-164 | | -log(-x)=log(x^2-6) | | 16x+8y=16 | | 4x+(3x-1)-3=8x-2x+4 |

Equations solver categories