(9/y)+(2/3)=(9/3y)

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Solution for (9/y)+(2/3)=(9/3y) equation: 


D( y )

y = 0

y = 0

y = 0

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

9/y+2/3 = (9/3)*y // - (9/3)*y

9/y-((9/3)*y)+2/3 = 0

9/y-3*y+2/3 = 0

9*y^-1-3*y^1+2/3*y^0 = 0

(2/3*y^1-3*y^2+9*y^0)/(y^1) = 0 // * y^2

y^1*(2/3*y^1-3*y^2+9*y^0) = 0

y^1

(2/3)*y-3*y^2+9 = 0

(2/3)*y-3*y^2+9 = 0

DELTA = (2/3)^2-(-3*4*9)

DELTA = 976/9

DELTA > 0

y = ((976/9)^(1/2)-(2/3))/(-3*2) or y = (-(2/3)-(976/9)^(1/2))/(-3*2)

y = ((976/9)^(1/2)-2/3)/(-6) or y = ((976/9)^(1/2)+2/3)/6

y in { ((976/9)^(1/2)-2/3)/(-6), ((976/9)^(1/2)+2/3)/6} 

y in { ((976/9)^(1/2)-2/3)/(-6), ((976/9)^(1/2)+2/3)/6 }

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