(1/5)-(8/5y)=(4/y)

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Solution for (1/5)-(8/5y)=(4/y) equation: 


D( y )

y = 0

y = 0

y = 0

y in (-oo:0) U (0:+oo)

1/5-((8/5)*y) = 4/y // - 4/y

1/5-((8/5)*y)-(4/y) = 0

(-8/5)*y-4*y^-1+1/5 = 0

1/5*y^0-8/5*y^1-4*y^-1 = 0

(1/5*y^1-8/5*y^2-4*y^0)/(y^1) = 0 // * y^2

y^1*(1/5*y^1-8/5*y^2-4*y^0) = 0

y^1

(-8/5)*y^2+(1/5)*y-4 = 0

(-8/5)*y^2+(1/5)*y-4 = 0

DELTA = (1/5)^2-(-4*4*(-8/5))

DELTA = -639/25

DELTA < 0

y in { } 

y belongs to the empty set

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