(27-9x)/(3x^2-x)

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Solution for (27-9x)/(3x^2-x) equation: 


D( x )

3*x^2-x = 0

3*x^2-x = 0

3*x^2-x = 0

3*x^2-x = 0

DELTA = (-1)^2-(0*3*4)

DELTA = 1

DELTA > 0

x = (1^(1/2)+1)/(2*3) or x = (1-1^(1/2))/(2*3)

x = 1/3 or x = 0

x in (-oo:0) U (0:1/3) U (1/3:+oo)

(27-(9*x))/(3*x^2-x) = 0

(27-9*x)/(3*x^2-x) = 0

3*x^2-x = 0

x*(3*x-1) = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

x*(x-1/3) = 0

(27-9*x)/(x*(x-1/3)) = 0

27-9*x = 0 // - 27

-9*x = -27 // : -9

x = -27/(-9)

x = 3

x = 3

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