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

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


D( y )

y = 0

y = 0

y = 0

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

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

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

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

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

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

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

y^1

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

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

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

DELTA = 4

DELTA > 0

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

y = 5 or y = -5

y in { -5, 5} 

y in { -5, 5 }

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