9/y+1/9=4/9y

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Solution for 9/y+1/9=4/9y equation: 


D( y )

y = 0

y = 0

y = 0

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

9/y+1/9 = (4/9)*y // - (4/9)*y

9/y-((4/9)*y)+1/9 = 0

(-4/9)*y+9/y+1/9 = 0

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

(1/9*y^1-4/9*y^2+9*y^0)/(y^1) = 0 // * y^2

y^1*(1/9*y^1-4/9*y^2+9*y^0) = 0

y^1

(-4/9)*y^2+(1/9)*y+9 = 0

(-4/9)*y^2+(1/9)*y+9 = 0

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

DELTA = 1297/81

DELTA > 0

y = ((1297/81)^(1/2)-(1/9))/(2*(-4/9)) or y = (-(1/9)-(1297/81)^(1/2))/(2*(-4/9))

y = -9/8*((1297/81)^(1/2)-1/9) or y = 9/8*((1297/81)^(1/2)+1/9)

y in { -9/8*((1297/81)^(1/2)-1/9), 9/8*((1297/81)^(1/2)+1/9)} 

y in { -9/8*((1297/81)^(1/2)-1/9), 9/8*((1297/81)^(1/2)+1/9) }

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