3/(y+1)+1/(y-1)=2/(y^2-1)

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


D( y )

y-1 = 0

y^2-1 = 0

y+1 = 0

y-1 = 0

y-1 = 0

y-1 = 0 // + 1

y = 1

y^2-1 = 0

y^2-1 = 0

1*y^2 = 1 // : 1

y^2 = 1

y^2 = 1 // ^ 1/2

abs(y) = 1

y = 1 or y = -1

y+1 = 0

y+1 = 0

y+1 = 0 // - 1

y = -1

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

3/(y+1)+1/(y-1) = 2/(y^2-1) // - 2/(y^2-1)

3/(y+1)+1/(y-1)-(2/(y^2-1)) = 0

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

3/(y+1)+1/(y-1)-2/(y^2-1) = 0

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

3*(y-1)*(y^2-1)+1*(y+1)*(y^2-1)-2*(y+1)*(y-1) = 0

4*y^3-2*y^2-2*y^2-4*y+2+2 = 0

4*y^3-4*y^2-4*y+4 = 0

4*y^3-4*y^2-4*y+4 = 0

4*(y^3-y^2-y+1) = 0

y^3-y^2-y+1 = 0

{ 1, -1 }

1

y = 1

y^3-y^2-y+1 = 0

1

y-1

y^2-1

y^3-y^2-y+1

y-1

y^2-y^3

1-y

y-1

0

y^2-1 = 0

DELTA = 0^2-(-1*1*4)

DELTA = 4

DELTA > 0

y = (4^(1/2)+0)/(1*2) or y = (0-4^(1/2))/(1*2)

y = 1 or y = -1

y in { -1, 1, 1}

4*(y+1)*(y-1)^2 = 0

(4*(y+1)*(y-1)^2)/((y+1)*(y-1)*(y^2-1)) = 0

(4*(y+1)*(y-1)^2)/((y+1)*(y-1)*(y^2-1)) = 0 // * (y+1)*(y-1)*(y^2-1)

4*(y+1)*(y-1)^2 = 0

( y+1 )

y+1 = 0 // - 1

y = -1

( y-1 )

y-1 = 0 // + 1

y = 1

y in { -1}

y in { 1}

y belongs to the empty set

See similar equations:

| 3x^2+72x+700=0 | | 3/2+5/6-3/4 | | 7k+33=5 | | 11/2+5/8/3/4-1/2*11/2 | | -3a(4a^2-5a+9)=0 | | 0.15x+0.05(10*x)=0.10(13) | | 2t^2-10t^4=0 | | 15-3.5/5*0.2+3 | | 15-305/5*0.2+3 | | y=-3x^2+18x-30 | | (4v^2+2v-1)+(-6v^2+3v+9)-(5v^2+7v-3)= | | y=-3x^2+18-30 | | 3x(x)+10x=8 | | -25=-5/4y | | (10/22+5/6)*33/35 | | =5.2x^2-5.2x+1 | | 2y=(y-1)+1 | | 0=10+9x+2y | | 3x=(x)-2 | | 8/49*14/24/-4/9 | | 6(2x)=6*2+2x*2 | | 5x+3-x=-4x | | 14/24+13/16-7/8 | | 9x-11y=4 | | (-6x+7y)(-14)= | | 2x-7=7+63x | | 2a-7b=9c | | =58x^2-58x+1 | | 3+6(3)=21 | | =5.8x^2-5.8x+1 | | 4k+19=3 | | K+6k=21 |

Equations solver categories