(6x^2+17x+8)/(x-2)

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Solution for (6x^2+17x+8)/(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)

(6*x^2+17*x+8)/(x-2) = 0

6*x^2+17*x+8 = 0

6*x^2+17*x+8 = 0

DELTA = 17^2-(4*6*8)

DELTA = 97

DELTA > 0

x = (97^(1/2)-17)/(2*6) or x = (-97^(1/2)-17)/(2*6)

x = (97^(1/2)-17)/12 or x = (-(97^(1/2)+17))/12

(x+(97^(1/2)+17)/12)*(x-((97^(1/2)-17)/12)) = 0

((x+(97^(1/2)+17)/12)*(x-((97^(1/2)-17)/12)))/(x-2) = 0

( x+(97^(1/2)+17)/12 )

x+(97^(1/2)+17)/12 = 0 // - (97^(1/2)+17)/12

x = -((97^(1/2)+17)/12)

( x-((97^(1/2)-17)/12) )

x-((97^(1/2)-17)/12) = 0 // + (97^(1/2)-17)/12

x = (97^(1/2)-17)/12

x in { -((97^(1/2)+17)/12), (97^(1/2)-17)/12 }

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