(3x^2+11x+1)/(x-3)

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Solution for (3x^2+11x+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)

(3*x^2+11*x+1)/(x-3) = 0

3*x^2+11*x+1 = 0

3*x^2+11*x+1 = 0

DELTA = 11^2-(1*3*4)

DELTA = 109

DELTA > 0

x = (109^(1/2)-11)/(2*3) or x = (-109^(1/2)-11)/(2*3)

x = (109^(1/2)-11)/6 or x = (-(109^(1/2)+11))/6

(x+(109^(1/2)+11)/6)*(x-((109^(1/2)-11)/6)) = 0

((x+(109^(1/2)+11)/6)*(x-((109^(1/2)-11)/6)))/(x-3) = 0

( x+(109^(1/2)+11)/6 )

x+(109^(1/2)+11)/6 = 0 // - (109^(1/2)+11)/6

x = -((109^(1/2)+11)/6)

( x-((109^(1/2)-11)/6) )

x-((109^(1/2)-11)/6) = 0 // + (109^(1/2)-11)/6

x = (109^(1/2)-11)/6

x in { -((109^(1/2)+11)/6), (109^(1/2)-11)/6 }

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