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D( y )
y = 0
y = 0
y = 0
y in (-oo:0) U (0:+oo)
3*y-(5/y) = 12/5 // - 12/5
3*y-(5/y)-(12/5) = 0
3*y-5*y^-1-12/5 = 0
3*y^1-5*y^-1-12/5*y^0 = 0
(3*y^2-12/5*y^1-5*y^0)/(y^1) = 0 // * y^2
y^1*(3*y^2-12/5*y^1-5*y^0) = 0
y^1
3*y^2+(-12/5)*y-5 = 0
3*y^2+(-12/5)*y-5 = 0
DELTA = (-12/5)^2-(-5*3*4)
DELTA = 1644/25
DELTA > 0
y = ((1644/25)^(1/2)-(-12/5))/(2*3) or y = (-(-12/5)-(1644/25)^(1/2))/(2*3)
y = ((1644/25)^(1/2)+12/5)/6 or y = (12/5-(1644/25)^(1/2))/6
y in { (12/5-(1644/25)^(1/2))/6, ((1644/25)^(1/2)+12/5)/6}
y in { (12/5-(1644/25)^(1/2))/6, ((1644/25)^(1/2)+12/5)/6 }
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