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D( x )
x+5 = 0
x+5 = 0
x+5 = 0
x+5 = 0 // - 5
x = -5
x in (-oo:-5) U (-5:+oo)
(2*x^2+13*x+19)/(x+5) = 0
2*x^2+13*x+19 = 0
2*x^2+13*x+19 = 0
DELTA = 13^2-(2*4*19)
DELTA = 17
DELTA > 0
x = (17^(1/2)-13)/(2*2) or x = (-17^(1/2)-13)/(2*2)
x = (17^(1/2)-13)/4 or x = (-(17^(1/2)+13))/4
(x+(17^(1/2)+13)/4)*(x-((17^(1/2)-13)/4)) = 0
((x+(17^(1/2)+13)/4)*(x-((17^(1/2)-13)/4)))/(x+5) = 0
( x+(17^(1/2)+13)/4 )
x+(17^(1/2)+13)/4 = 0 // - (17^(1/2)+13)/4
x = -((17^(1/2)+13)/4)
( x-((17^(1/2)-13)/4) )
x-((17^(1/2)-13)/4) = 0 // + (17^(1/2)-13)/4
x = (17^(1/2)-13)/4
x in { -((17^(1/2)+13)/4), (17^(1/2)-13)/4 }
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