6-x/x^2-9x

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Solution for 6-x/x^2-9x equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

6-(9*x)-(x/(x^2)) = 0

6-9*x-x^-1 = 0

6*x^0-9*x^1-1*x^-1 = 0

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

x^1*(6*x^1-9*x^2-1*x^0) = 0

x^1

6*x-9*x^2-1 = 0

6*x-9*x^2-1 = 0

DELTA = 6^2-(-9*(-1)*4)

DELTA = 0

x = -6/(-9*2)

x = 1/3 or x = 1/3

x in { 1/3, 1/3} 

x in { 1/3, 1/3 }

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