(6x^2-14x+3)/(62x+15)

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Solution for (6x^2-14x+3)/(62x+15) equation: 


D( x )

62*x+15 = 0

62*x+15 = 0

62*x+15 = 0

62*x+15 = 0 // - 15

62*x = -15 // : 62

x = -15/62

x in (-oo:-15/62) U (-15/62:+oo)

(6*x^2-(14*x)+3)/(62*x+15) = 0

(6*x^2-14*x+3)/(62*x+15) = 0

6*x^2-14*x+3 = 0

6*x^2-14*x+3 = 0

DELTA = (-14)^2-(3*4*6)

DELTA = 124

DELTA > 0

x = (124^(1/2)+14)/(2*6) or x = (14-124^(1/2))/(2*6)

x = (2*31^(1/2)+14)/12 or x = (14-2*31^(1/2))/12

(x-((14-2*31^(1/2))/12))*(x-((2*31^(1/2)+14)/12)) = 0

((x-((14-2*31^(1/2))/12))*(x-((2*31^(1/2)+14)/12)))/(62*x+15) = 0

( x-((14-2*31^(1/2))/12) )

x-((14-2*31^(1/2))/12) = 0 // + (14-2*31^(1/2))/12

x = (14-2*31^(1/2))/12

( x-((2*31^(1/2)+14)/12) )

x-((2*31^(1/2)+14)/12) = 0 // + (2*31^(1/2)+14)/12

x = (2*31^(1/2)+14)/12

x in { (14-2*31^(1/2))/12, (2*31^(1/2)+14)/12 }

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