1/y-5/9y

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Solution for 1/y-5/9y equation: 


D( y )

y = 0

y = 0

y = 0

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

1/y-((5/9)*y) = 0

(-5/9)*y+1/y = 0

1*y^-1-5/9*y^1 = 0

(1*y^0-5/9*y^2)/(y^1) = 0 // * y^2

y^1*(1*y^0-5/9*y^2) = 0

y^1

(-5/9)*y^2+1 = 0

(-5/9)*y^2+1 = 0

DELTA = 0^2-(1*4*(-5/9))

DELTA = 20/9

DELTA > 0

y = ((20/9)^(1/2)+0)/(2*(-5/9)) or y = (0-(20/9)^(1/2))/(2*(-5/9))

y = -9/10*(20/9)^(1/2) or y = 9/10*(20/9)^(1/2)

y in { -9/10*(20/9)^(1/2), 9/10*(20/9)^(1/2)} 

y in { -9/10*(20/9)^(1/2), 9/10*(20/9)^(1/2) }

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