4/5y=5/7-4/y

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Solution for 4/5y=5/7-4/y equation: 


D( y )

y = 0

y = 0

y = 0

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

(4/5)*y = 5/7-(4/y) // - 5/7-(4/y)

(4/5)*y+4/y-(5/7) = 0

(4/5)*y+4/y-5/7 = 0

4/5*y^1+4*y^-1-5/7*y^0 = 0

(4/5*y^2-5/7*y^1+4*y^0)/(y^1) = 0 // * y^2

y^1*(4/5*y^2-5/7*y^1+4*y^0) = 0

y^1

(4/5)*y^2+(-5/7)*y+4 = 0

(4/5)*y^2+(-5/7)*y+4 = 0

DELTA = (-5/7)^2-(4*4*(4/5))

DELTA = -3011/245

DELTA < 0

y in { } 

y belongs to the empty set

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