x^2+(2*x)/(x-1)=8

Simple and best practice solution for x^2+(2*x)/(x-1)=8 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^2+(2*x)/(x-1)=8 equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

(2*x)/(x-1)+x^2 = 8 // - 8

(2*x)/(x-1)+x^2-8 = 0

(2*x)/(x-1)+(x^2*(x-1))/(x-1)+(-8*(x-1))/(x-1) = 0

x^2*(x-1)-8*(x-1)+2*x = 0

x^3-x^2+2*x-8*x+8 = 0

x^3-x^2-6*x+8 = 0

x^3-x^2-6*x+8 = 0

x^3-x^2-6*x+8 = 0

{ 1, -1, 2, -2, 4, -4, 8, -8 }

1

x = 1

x^3-x^2-6*x+8 = 2

1

-1

x = -1

x^3-x^2-6*x+8 = 12

-1

2

x = 2

x^3-x^2-6*x+8 = 0

2

x-2

x^2+x-4

x^3-x^2-6*x+8

x-2

2*x^2-x^3

x^2-6*x+8

2*x-x^2

8-4*x

4*x-8

0

x^2+x-4 = 0

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

DELTA = 17

DELTA > 0

x = (17^(1/2)-1)/(1*2) or x = (-17^(1/2)-1)/(1*2)

x = (17^(1/2)-1)/2 or x = (-(17^(1/2)+1))/2

x in { (-(17^(1/2)+1))/2, (17^(1/2)-1)/2, 2} 

(x+(17^(1/2)+1)/2)*(x-((17^(1/2)-1)/2))*(x-2) = 0

((x+(17^(1/2)+1)/2)*(x-((17^(1/2)-1)/2))*(x-2))/(x-1) = 0

((x+(17^(1/2)+1)/2)*(x-((17^(1/2)-1)/2))*(x-2))/(x-1) = 0 // * x-1

(x+(17^(1/2)+1)/2)*(x-((17^(1/2)-1)/2))*(x-2) = 0

( x+(17^(1/2)+1)/2 )

x+(17^(1/2)+1)/2 = 0 // - (17^(1/2)+1)/2

x = -((17^(1/2)+1)/2)

( x-((17^(1/2)-1)/2) )

x-((17^(1/2)-1)/2) = 0 // + (17^(1/2)-1)/2

x = (17^(1/2)-1)/2

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -((17^(1/2)+1)/2), (17^(1/2)-1)/2, 2 }

See similar equations:

| y(2y)= | | 5x+16=7x-8 | | y(3-2y)= | | 7/3y=56/3 | | 14/62 | | 9-3+4= | | 2(7x+4)=148 | | 3x=-y+10 | | 186-6x=5+21 | | (-2y+20/3)+3y=-12 | | -8(3x-1)=-7(2x+4) | | 4/7x-6/5=5x+3/2 | | 6(3x+4)=100 | | (h^2-10h+25*2h)/((4h^3)(8h-40)) | | 5x+36=14x-56 | | 4+2x/5+3-x/2=19/10 | | -2x-9=18 | | 7-1/16x=2 | | 4(k-5)=9k+10 | | (h^2-10h+25*2h)/4h^3(8h-40) | | Y-12/10=7 | | 0.50x+015(50)=29.5 | | -n+9-2n-1=13 | | 0.8x-2.1=2.3x+1.2 | | 0.15x+0.05(18-x)=0.10(21) | | 1/2x=1/14x+6/7 | | 16+9x=8-4x | | x/8+x/5=13/40 | | 2(x+1)/5=3x-2 | | 0.2(x+80)+0.6x=32 | | 3x+2x=4.2 | | 7(0)+-3y=11 |

Equations solver categories