(6X^2-29X+18)/X+6

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Solution for (6X^2-29X+18)/X+6 equation:


D( X )

X = 0

X = 0

X = 0

X in (-oo:0) U (0:+oo)

(6*X^2-(29*X)+18)/X+6 = 0

(6*X^2-29*X+18)/X+6 = 0

(6*X^2-29*X+18)/X+(6*X)/X = 0

6*X^2-29*X+6*X+18 = 0

6*X^2-23*X+18 = 0

6*X^2-23*X+18 = 0

6*X^2-23*X+18 = 0

DELTA = (-23)^2-(4*6*18)

DELTA = 97

DELTA > 0

X = (97^(1/2)+23)/(2*6) or X = (23-97^(1/2))/(2*6)

X = (97^(1/2)+23)/12 or X = (23-97^(1/2))/12

(X-((23-97^(1/2))/12))*(X-((97^(1/2)+23)/12)) = 0

((X-((23-97^(1/2))/12))*(X-((97^(1/2)+23)/12)))/X = 0

((X-((23-97^(1/2))/12))*(X-((97^(1/2)+23)/12)))/X = 0 // * X

(X-((23-97^(1/2))/12))*(X-((97^(1/2)+23)/12)) = 0

( X-((23-97^(1/2))/12) )

X-((23-97^(1/2))/12) = 0 // + (23-97^(1/2))/12

X = (23-97^(1/2))/12

( X-((97^(1/2)+23)/12) )

X-((97^(1/2)+23)/12) = 0 // + (97^(1/2)+23)/12

X = (97^(1/2)+23)/12

X in { (23-97^(1/2))/12, (97^(1/2)+23)/12 }

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