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D( x )
x+7 = 0
x+7 = 0
x+7 = 0
x+7 = 0 // - 7
x = -7
x in (-oo:-7) U (-7:+oo)
(4*x^2+34*x+44)/(x+7) = 0
4*x^2+34*x+44 = 0
2*(2*x^2+17*x+22) = 0
2*x^2+17*x+22 = 0
DELTA = 17^2-(2*4*22)
DELTA = 113
DELTA > 0
x = (113^(1/2)-17)/(2*2) or x = (-113^(1/2)-17)/(2*2)
x = (113^(1/2)-17)/4 or x = (-(113^(1/2)+17))/4
2*(x+(113^(1/2)+17)/4)*(x-((113^(1/2)-17)/4)) = 0
(2*(x+(113^(1/2)+17)/4)*(x-((113^(1/2)-17)/4)))/(x+7) = 0
( x+(113^(1/2)+17)/4 )
x+(113^(1/2)+17)/4 = 0 // - (113^(1/2)+17)/4
x = -((113^(1/2)+17)/4)
( x-((113^(1/2)-17)/4) )
x-((113^(1/2)-17)/4) = 0 // + (113^(1/2)-17)/4
x = (113^(1/2)-17)/4
x in { -((113^(1/2)+17)/4), (113^(1/2)-17)/4 }
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