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D( y )
y = 0
y = 0
y = 0
y in (-oo:0) U (0:+oo)
(50-(1/y))*(5/y+10) = 100 // - 100
(50-(1/y))*(5/y+10)-100 = 0
(50-y^-1)*(5/y+10)-100 = 0
(50-y^-1)*(5*y^-1+10)-100 = 0
(50-y^-1)*(5*y^-1+10)-100 = 0
240*y^-1-5*y^-2+400 = 0
240*y^-1-5*y^-2+400 = 0
5*(48*y^-1-y^-2+80) = 0
48*y^-1-1*y^-2+80*y^0 = 0
(80*y^2+48*y^1-1*y^0)/(y^2) = 0 // * y^4
y^2*(80*y^2+48*y^1-1*y^0) = 0
y^2
80*y^2+48*y-1 = 0
80*y^2+48*y-1 = 0
DELTA = 48^2-(-1*4*80)
DELTA = 2624
DELTA > 0
y = (2624^(1/2)-48)/(2*80) or y = (-2624^(1/2)-48)/(2*80)
y = (8*41^(1/2)-48)/160 or y = (-8*41^(1/2)-48)/160
y in { (-8*41^(1/2)-48)/160, (8*41^(1/2)-48)/160}
5*(y-((-8*41^(1/2)-48)/160))*(y-((8*41^(1/2)-48)/160)) = 0
5*(y-((-8*41^(1/2)-48)/160))*(y-((8*41^(1/2)-48)/160)) = 0
( y-((-8*41^(1/2)-48)/160) )
y-((-8*41^(1/2)-48)/160) = 0 // + (-8*41^(1/2)-48)/160
y = (-8*41^(1/2)-48)/160
( y-((8*41^(1/2)-48)/160) )
y-((8*41^(1/2)-48)/160) = 0 // + (8*41^(1/2)-48)/160
y = (8*41^(1/2)-48)/160
y in { (-8*41^(1/2)-48)/160, (8*41^(1/2)-48)/160 }
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