(x^2-5x-9)/(x-2)=0

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Solution for (x^2-5x-9)/(x-2)=0 equation: 


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

(x^2-(5*x)-9)/(x-2) = 0

(x^2-5*x-9)/(x-2) = 0

x^2-5*x-9 = 0

x^2-5*x-9 = 0

DELTA = (-5)^2-(-9*1*4)

DELTA = 61

DELTA > 0

x = (61^(1/2)+5)/(1*2) or x = (5-61^(1/2))/(1*2)

x = (61^(1/2)+5)/2 or x = (5-61^(1/2))/2

(x-((5-61^(1/2))/2))*(x-((61^(1/2)+5)/2)) = 0

((x-((5-61^(1/2))/2))*(x-((61^(1/2)+5)/2)))/(x-2) = 0

( x-((5-61^(1/2))/2) )

x-((5-61^(1/2))/2) = 0 // + (5-61^(1/2))/2

x = (5-61^(1/2))/2

( x-((61^(1/2)+5)/2) )

x-((61^(1/2)+5)/2) = 0 // + (61^(1/2)+5)/2

x = (61^(1/2)+5)/2

x in { (5-61^(1/2))/2, (61^(1/2)+5)/2 }

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