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

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


D( X )

X+6 = 0

X+6 = 0

X+6 = 0

X+6 = 0 // - 6

X = -6

X in (-oo:-6) U (-6:+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 = 0

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

DELTA = (-29)^2-(4*6*18)

DELTA = 409

DELTA > 0

X = (409^(1/2)+29)/(2*6) or X = (29-409^(1/2))/(2*6)

X = (409^(1/2)+29)/12 or X = (29-409^(1/2))/12

(X-((29-409^(1/2))/12))*(X-((409^(1/2)+29)/12)) = 0

((X-((29-409^(1/2))/12))*(X-((409^(1/2)+29)/12)))/(X+6) = 0

( X-((29-409^(1/2))/12) )

X-((29-409^(1/2))/12) = 0 // + (29-409^(1/2))/12

X = (29-409^(1/2))/12

( X-((409^(1/2)+29)/12) )

X-((409^(1/2)+29)/12) = 0 // + (409^(1/2)+29)/12

X = (409^(1/2)+29)/12

X in { (29-409^(1/2))/12, (409^(1/2)+29)/12 }

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