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D( y )
2*y-8 = 0
y-4 = 0
2*y-8 = 0
2*y-8 = 0
2*y-8 = 0 // + 8
2*y = 8 // : 2
y = 8/2
y = 4
y-4 = 0
y-4 = 0
y-4 = 0 // + 4
y = 4
y in (-oo:4) U (4:+oo)
5/(2*y-8)+4 = -(5/(y-4)) // + 5/(y-4)
5/(2*y-8)+5/(y-4)+4 = 0
(5*(y-4))/((2*y-8)*(y-4))+(5*(2*y-8))/((2*y-8)*(y-4))+(4*(2*y-8)*(y-4))/((2*y-8)*(y-4)) = 0
5*(y-4)+5*(2*y-8)+4*(2*y-8)*(y-4) = 0
8*y^2+15*y-64*y-60+128 = 0
8*y^2-49*y+68 = 0
8*y^2-49*y+68 = 0
8*y^2-49*y+68 = 0
DELTA = (-49)^2-(4*8*68)
DELTA = 225
DELTA > 0
y = (225^(1/2)+49)/(2*8) or y = (49-225^(1/2))/(2*8)
y = 4 or y = 17/8
(y-17/8)*(y-4) = 0
((y-17/8)*(y-4))/((2*y-8)*(y-4)) = 0
((y-17/8)*(y-4))/((2*y-8)*(y-4)) = 0 // * (2*y-8)*(y-4)
(y-17/8)*(y-4) = 0
( y-17/8 )
y-17/8 = 0 // + 17/8
y = 17/8
( y-4 )
y-4 = 0 // + 4
y = 4
y in { 4}
y = 17/8
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