(x^2-9x+10)/(x-2)

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Solution for (x^2-9x+10)/(x-2) 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-(9*x)+10)/(x-2) = 0

(x^2-9*x+10)/(x-2) = 0

x^2-9*x+10 = 0

x^2-9*x+10 = 0

DELTA = (-9)^2-(1*4*10)

DELTA = 41

DELTA > 0

x = (41^(1/2)+9)/(1*2) or x = (9-41^(1/2))/(1*2)

x = (41^(1/2)+9)/2 or x = (9-41^(1/2))/2

(x-((9-41^(1/2))/2))*(x-((41^(1/2)+9)/2)) = 0

((x-((9-41^(1/2))/2))*(x-((41^(1/2)+9)/2)))/(x-2) = 0

( x-((41^(1/2)+9)/2) )

x-((41^(1/2)+9)/2) = 0 // + (41^(1/2)+9)/2

x = (41^(1/2)+9)/2

( x-((9-41^(1/2))/2) )

x-((9-41^(1/2))/2) = 0 // + (9-41^(1/2))/2

x = (9-41^(1/2))/2

x in { (41^(1/2)+9)/2, (9-41^(1/2))/2 }

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