3/(x+1)+1/(x^2-x+1)-9/(x^3+1)=0

Simple and best practice solution for 3/(x+1)+1/(x^2-x+1)-9/(x^3+1)=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 3/(x+1)+1/(x^2-x+1)-9/(x^3+1)=0 equation: 


D( x )

x^2-x+1 = 0

x+1 = 0

x^3+1 = 0

x^2-x+1 = 0

x^2-x+1 = 0

x^2-x+1 = 0

DELTA = (-1)^2-(1*1*4)

DELTA = -3

DELTA < 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x^3+1 = 0

x^3+1 = 0

1*x^3 = -1 // : 1

x^3 = -1

x^3 = -1 // ^ 1/3

x = -1

x in (-oo:-1) U (-1:+oo)

3/(x+1)+1/(x^2-x+1)-(9/(x^3+1)) = 0

3/(x+1)+1/(x^2-x+1)-9*(x^3+1)^-1 = 0

3/(x+1)+1/(x^2-x+1)-9/(x^3+1) = 0

x^2-x+1 = 0

x^2-x+1 = 0

x^2-x+1 = 0

DELTA = (-1)^2-(1*1*4)

DELTA = -3

DELTA < 0

1 = 0

3/(x+1)-9/(x^3+1)+1 = 0

(3*(x^3+1))/((x+1)*(x^3+1))+(1*(x+1)*(x^3+1))/((x+1)*(x^3+1))+(-9*(x+1))/((x+1)*(x^3+1)) = 0

3*(x^3+1)+1*(x+1)*(x^3+1)-9*(x+1) = 0

x^4+4*x^3+x-9*x-9+4 = 0

x^4+4*x^3-8*x-5 = 0

x^4+4*x^3-8*x-5 = 0

x^4+4*x^3-8*x-5 = 0

{ 1, -1, 5, -5 }

1

x = 1

x^4+4*x^3-8*x-5 = -8

1

-1

x = -1

x^4+4*x^3-8*x-5 = 0

-1

x+1

x^3+3*x^2-3*x-5

x^4+4*x^3-8*x-5

x+1

-x^4-x^3

3*x^3-8*x-5

-3*x^3-3*x^2

-3*x^2-8*x-5

3*x^2+3*x

-5*x-5

5*x+5

0

x^3+3*x^2-3*x-5 = 0

{ 1, -1, 5, -5 }

1

x = 1

x^3+3*x^2-3*x-5 = -4

1

-1

x = -1

x^3+3*x^2-3*x-5 = 0

-1

x+1

x^2+2*x-5

x^3+3*x^2-3*x-5

x+1

-x^3-x^2

2*x^2-3*x-5

-2*x^2-2*x

-5*x-5

5*x+5

0

x^2+2*x-5 = 0

DELTA = 2^2-(-5*1*4)

DELTA = 24

DELTA > 0

x = (24^(1/2)-2)/(1*2) or x = (-24^(1/2)-2)/(1*2)

x = (2*6^(1/2)-2)/2 or x = (-2*6^(1/2)-2)/2

x in { (-2*6^(1/2)-2)/2, (2*6^(1/2)-2)/2, -1, -1} 

(x-((-2*6^(1/2)-2)/2))*(x-((2*6^(1/2)-2)/2))*(x+1)^2 = 0

((x-((-2*6^(1/2)-2)/2))*(x-((2*6^(1/2)-2)/2))*(x+1)^2)/((x+1)*(x^3+1)) = 0

((x-((-2*6^(1/2)-2)/2))*(x-((2*6^(1/2)-2)/2))*(x+1)^2)/((x+1)*(x^3+1)) = 0 // * (x+1)*(x^3+1)

(x-((-2*6^(1/2)-2)/2))*(x-((2*6^(1/2)-2)/2))*(x+1)^2 = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-((-2*6^(1/2)-2)/2) )

x-((-2*6^(1/2)-2)/2) = 0 // + (-2*6^(1/2)-2)/2

x = (-2*6^(1/2)-2)/2

( x-((2*6^(1/2)-2)/2) )

x-((2*6^(1/2)-2)/2) = 0 // + (2*6^(1/2)-2)/2

x = (2*6^(1/2)-2)/2

x in { -1} 

x in { (-2*6^(1/2)-2)/2, (2*6^(1/2)-2)/2 }

See similar equations:

| 9.3x+1.9y+7.3=0 | | 4-5(x+2)+7(x-2)=0 | | 6-3x=5x-10x+2+4 | | 3x=x+80 | | -5=x+14 | | x^2=3+5x | | 6v^2-11v+4=0 | | -(7xy-10)+3(4xy-8)= | | (16x^4y^9/81x^9y^4) | | 16x^4y^9/81x^9y^4 | | 3(4-2x)=-x+1 | | 10(512-C)=C*15 | | 6+3(3x-4)=8-5(2x+1) | | x=(7x-4) | | 158-5x=x+20 | | 5x+6(x-2)-8(x-3)= | | 21-x/3=x/4 | | 20=-2(24-m)+3(m-4) | | 5x-34=x+10 | | k=c+270-3 | | 4=x/2-3 | | 3y-17y^(1/2)-6=0 | | 2(x-2)+2x=4(x+4)+4x | | 7(x+1)-3x=5+4(x-1) | | 2x+3=11x-15 | | 5.2t=1.3 | | x^3-3x^2-16x-48=(x+4)(x-4)(x-3) | | 4x-1/10=3x+4/5 | | 5x+1/3=2x-3/2 | | Fx=3(x-4)+16-(x+1) | | (5x/2)-6=(2x-7/9) | | 6(7y-7)-(3y+8)= |

Equations solver categories