(y/5)+(3/y)=8/5

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Solution for (y/5)+(3/y)=8/5 equation: 


D( y )

y = 0

y = 0

y = 0

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

y/5+3/y = 8/5 // - 8/5

y/5+3/y-(8/5) = 0

y/5+3/y-8/5 = 0

1/5*y^1+3*y^-1-8/5*y^0 = 0

(1/5*y^2-8/5*y^1+3*y^0)/(y^1) = 0 // * y^2

y^1*(1/5*y^2-8/5*y^1+3*y^0) = 0

y^1

(1/5)*y^2+(-8/5)*y+3 = 0

(1/5)*y^2+(-8/5)*y+3 = 0

DELTA = (-8/5)^2-(3*4*(1/5))

DELTA = 4/25

DELTA > 0

y = ((4/25)^(1/2)-(-8/5))/(2*(1/5)) or y = (-(-8/5)-(4/25)^(1/2))/(2*(1/5))

y = 5 or y = 3

y in { 3, 5} 

y in { 3, 5 }

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