2y/y-1=5/y+(10-8y)/(y^2-y)

Simple and best practice solution for 2y/y-1=5/y+(10-8y)/(y^2-y) 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 2y/y-1=5/y+(10-8y)/(y^2-y) equation: 


D( y )

y = 0

y^2-y = 0

y = 0

y = 0

y^2-y = 0

y^2-y = 0

y^2-y = 0

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

DELTA = 1

DELTA > 0

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

y = 1 or y = 0

y in (-oo:0) U (0:1) U (1:+oo)

(2*y)/y-1 = (10-(8*y))/(y^2-y)+5/y // - (10-(8*y))/(y^2-y)+5/y

(2*y)/y-((10-(8*y))/(y^2-y))-(5/y)-1 = 0

(2*y)/y-((10-8*y)/(y^2-y))-5*y^-1-1 = 0

(-1*(10-8*y))/(y^2-y)-5/y-1+2 = 0

y^2-y = 0

y^2-y = 0

y*(y-1) = 0

y-1 = 0 // + 1

y = 1

y*(y-1) = 0

(-1*(10-8*y))/(y*(y-1))-5/y-1+2 = 0

(-1*(10-8*y))/(y*(y-1))+(-5*(y-1))/(y*(y-1))+(2*y*(y-1))/(y*(y-1))+(-1*y*(y-1))/(y*(y-1)) = 0

2*y*(y-1)-1*(10-8*y)-5*(y-1)-1*y*(y-1) = 0

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

2*y^2-y^2+y+y-5 = 0

y^2+2*y-5 = 0

y^2+2*y-5 = 0

y^2+2*y-5 = 0

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

DELTA = 24

DELTA > 0

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

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

(y-((-2*6^(1/2)-2)/2))*(y-((2*6^(1/2)-2)/2)) = 0

((y-((-2*6^(1/2)-2)/2))*(y-((2*6^(1/2)-2)/2)))/(y*(y-1)) = 0

((y-((-2*6^(1/2)-2)/2))*(y-((2*6^(1/2)-2)/2)))/(y*(y-1)) = 0 // * y*(y-1)

(y-((-2*6^(1/2)-2)/2))*(y-((2*6^(1/2)-2)/2)) = 0

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

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

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

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

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

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

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

See similar equations:

| 5i/(6-2i) | | 37-n=12 | | -18=-3z | | 2x+4+3x=24 | | 12x+25=200 | | 12+n=17 | | 180-x=3(x-2) | | 11+5=16 | | -3/8-(-1/5)-(-7/3) | | 3(-2+3n)=-7n-6 | | -4y=4 | | -7(a+5)=-40-8a | | -36-7x=6(4-4x)+5x | | 4-8x=5(4x+6)-2x | | 10+n/15=12 | | 12+3y=84 | | -62=5-3(1-3x) | | 4+5(8+6m)=-22+8m | | 24+2x=2(2x+7) | | 5x^3+15x^2+12x+36=0 | | 1-8(5k-5)=-33-3k | | -3-3b=-(-2+4b) | | 8/5-2=-13 | | 8+7r=-8(r-1) | | -6v-11=4(-2v+6)-1 | | 4.5x-1.5=12 | | -12+4p=-p+3p | | 0=x^4-2x^3-4x^2+2x+3 | | (4x^3+8x)(x^2-3)=0 | | 830+y=520 | | 7x^2=1028 | | x^4+2*x^2*y^2+y^4=2 |

Equations solver categories