(2x/15-x)/(x/9-x^2)

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Solution for (2x/15-x)/(x/9-x^2) equation: 


D( x )

x/9-x^2 = 0

x/9-x^2 = 0

x/9-x^2 = 0

1/9*x-x^2 = 0

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

DELTA = 1/81

DELTA > 0

x = ((1/81)^(1/2)-1/9)/(-1*2) or x = (-(1/81)^(1/2)-1/9)/(-1*2)

x = 0 or x = 1/9

x in (-oo:0) U (0:1/9) U (1/9:+oo)

((2*x)/15-x)/(x/9-x^2) = 0

(-13/15*x)/(1/9*x-x^2) = 0

1/9*x-x^2 = 0

x*(1/9-x) = 0

1/9-x = 0 // - 1/9

-x = -1/9 // * -1

x = 1/9

x*(x-1/9) = 0

(-13/15*x)/(x*(x-1/9)) = 0

-13/15*x = 0 // : -13/15

x = 0

x in { 0} 

x belongs to the empty set

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