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D( y )
y-5 = 0
5*y-25 = 0
y-5 = 0
y-5 = 0
y-5 = 0 // + 5
y = 5
5*y-25 = 0
5*y-25 = 0
5*y-25 = 0 // + 25
5*y = 25 // : 5
y = 25/5
y = 5
y in (-oo:5) U (5:+oo)
4/(5*y-25)+1 = -8/(y-5) // + -8/(y-5)
4/(5*y-25)-(-8/(y-5))+1 = 0
4/(5*y-25)+8*(y-5)^-1+1 = 0
4/(5*y-25)+8/(y-5)+1 = 0
(4*(y-5))/((5*y-25)*(y-5))+(8*(5*y-25))/((5*y-25)*(y-5))+(1*(5*y-25)*(y-5))/((5*y-25)*(y-5)) = 0
4*(y-5)+8*(5*y-25)+1*(5*y-25)*(y-5) = 0
5*y^2+44*y-50*y-220+125 = 0
5*y^2-6*y-95 = 0
5*y^2-6*y-95 = 0
5*y^2-6*y-95 = 0
DELTA = (-6)^2-(-95*4*5)
DELTA = 1936
DELTA > 0
y = (1936^(1/2)+6)/(2*5) or y = (6-1936^(1/2))/(2*5)
y = 5 or y = -19/5
(y+19/5)*(y-5) = 0
((y+19/5)*(y-5))/((5*y-25)*(y-5)) = 0
((y+19/5)*(y-5))/((5*y-25)*(y-5)) = 0 // * (5*y-25)*(y-5)
(y+19/5)*(y-5) = 0
( y+19/5 )
y+19/5 = 0 // - 19/5
y = -19/5
( y-5 )
y-5 = 0 // + 5
y = 5
y in { 5}
y = -19/5
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