(y+7)/(y^2-8y+7)=(1/(y-1))-(1/(y-7))

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Solution for (y+7)/(y^2-8y+7)=(1/(y-1))-(1/(y-7)) equation:


D( y )

y-1 = 0

y-7 = 0

y^2-(8*y)+7 = 0

y-1 = 0

y-1 = 0

y-1 = 0 // + 1

y = 1

y-7 = 0

y-7 = 0

y-7 = 0 // + 7

y = 7

y^2-(8*y)+7 = 0

y^2-(8*y)+7 = 0

y^2-8*y+7 = 0

y^2-8*y+7 = 0

DELTA = (-8)^2-(1*4*7)

DELTA = 36

DELTA > 0

y = (36^(1/2)+8)/(1*2) or y = (8-36^(1/2))/(1*2)

y = 7 or y = 1

y in (-oo:1) U (1:7) U (7:+oo)

(y+7)/(y^2-(8*y)+7) = 1/(y-1)-(1/(y-7)) // - 1/(y-1)-(1/(y-7))

(y+7)/(y^2-(8*y)+7)-(1/(y-1))+1/(y-7) = 0

(y+7)/(y^2-8*y+7)-(y-1)^-1+1/(y-7) = 0

(y+7)/(y^2-8*y+7)-1/(y-1)+1/(y-7) = 0

y^2-8*y+7 = 0

y^2-8*y+7 = 0

y^2-8*y+7 = 0

DELTA = (-8)^2-(1*4*7)

DELTA = 36

DELTA > 0

y = (36^(1/2)+8)/(1*2) or y = (8-36^(1/2))/(1*2)

y = 7 or y = 1

(y-1)*(y-7) = 0

(y+7)/((y-1)*(y-7))-1/(y-1)+1/(y-7) = 0

(y+7)/((y-1)*(y-7))+(-1*(y-7))/((y-1)*(y-7))+(1*(y-1))/((y-1)*(y-7)) = 0

1*(y-1)-1*(y-7)+y+7 = 0

y-1+14 = 0

y+13 = 0

(y+13)/((y-1)*(y-7)) = 0

(y+13)/((y-1)*(y-7)) = 0 // * (y-1)*(y-7)

y+13 = 0

y+13 = 0 // - 13

y = -13

y = -13

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