y-5/y-9=4/y-9

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Solution for y-5/y-9=4/y-9 equation: 


D( y )

y = 0

y = 0

y = 0

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

y-(5/y)-9 = 4/y-9 // - 4/y-9

y-(5/y)-(4/y)-9+9 = 0

y-5*y^-1-4*y^-1-9+9 = 0

1*y^1-9*y^-1 = 0

(1*y^2-9*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-9*y^0) = 0

y^1

y^2-9 = 0

y^2-9 = 0

DELTA = 0^2-(-9*1*4)

DELTA = 36

DELTA > 0

y = (36^(1/2)+0)/(1*2) or y = (0-36^(1/2))/(1*2)

y = 3 or y = -3

y in { -3, 3} 

y in { -3, 3 }

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