(5x^2-13x+1)/(x-3)

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Solution for (5x^2-13x+1)/(x-3) equation:


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

(5*x^2-(13*x)+1)/(x-3) = 0

(5*x^2-13*x+1)/(x-3) = 0

5*x^2-13*x+1 = 0

5*x^2-13*x+1 = 0

DELTA = (-13)^2-(1*4*5)

DELTA = 149

DELTA > 0

x = (149^(1/2)+13)/(2*5) or x = (13-149^(1/2))/(2*5)

x = (149^(1/2)+13)/10 or x = (13-149^(1/2))/10

(x-((13-149^(1/2))/10))*(x-((149^(1/2)+13)/10)) = 0

((x-((13-149^(1/2))/10))*(x-((149^(1/2)+13)/10)))/(x-3) = 0

( x-((13-149^(1/2))/10) )

x-((13-149^(1/2))/10) = 0 // + (13-149^(1/2))/10

x = (13-149^(1/2))/10

( x-((149^(1/2)+13)/10) )

x-((149^(1/2)+13)/10) = 0 // + (149^(1/2)+13)/10

x = (149^(1/2)+13)/10

x in { (13-149^(1/2))/10, (149^(1/2)+13)/10 }

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