(x-9)+1/(x-9)=0

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Solution for (x-9)+1/(x-9)=0 equation: 


D( x )

x-9 = 0

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:9) U (9:+oo)

1/(x-9)+x-9 = 0

1/(x-9)+(x*(x-9))/(x-9)+(-9*(x-9))/(x-9) = 0

x*(x-9)-9*(x-9)+1 = 0

x^2-9*x-9*x+1+81 = 0

x^2-18*x+82 = 0

x^2-18*x+82 = 0

x^2-18*x+82 = 0

DELTA = (-18)^2-(1*4*82)

DELTA = -4

DELTA < 0

1 = 0

1/(x-9) = 0

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

1 = 0

x belongs to the empty set

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