y/y^2-9y

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Solution for y/y^2-9y equation: 


D( y )

y^2 = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

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

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

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

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

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

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

y^1

1-9*y^2 = 0

1-9*y^2 = 0

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

DELTA = 36

DELTA > 0

y = (36^(1/2)+0)/(-9*2) or y = (0-36^(1/2))/(-9*2)

y = -1/3 or y = 1/3

y in { -1/3, 1/3} 

y in { -1/3, 1/3 }

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