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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+43*x+46)/(x+6) = 0
6*x^2+43*x+46 = 0
6*x^2+43*x+46 = 0
DELTA = 43^2-(4*6*46)
DELTA = 745
DELTA > 0
x = (745^(1/2)-43)/(2*6) or x = (-745^(1/2)-43)/(2*6)
x = (745^(1/2)-43)/12 or x = (-(745^(1/2)+43))/12
(x+(745^(1/2)+43)/12)*(x-((745^(1/2)-43)/12)) = 0
((x+(745^(1/2)+43)/12)*(x-((745^(1/2)-43)/12)))/(x+6) = 0
( x+(745^(1/2)+43)/12 )
x+(745^(1/2)+43)/12 = 0 // - (745^(1/2)+43)/12
x = -((745^(1/2)+43)/12)
( x-((745^(1/2)-43)/12) )
x-((745^(1/2)-43)/12) = 0 // + (745^(1/2)-43)/12
x = (745^(1/2)-43)/12
x in { -((745^(1/2)+43)/12), (745^(1/2)-43)/12 }
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