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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)
(2*x^2+17*x+27)/(x+6) = 0
2*x^2+17*x+27 = 0
2*x^2+17*x+27 = 0
DELTA = 17^2-(2*4*27)
DELTA = 73
DELTA > 0
x = (73^(1/2)-17)/(2*2) or x = (-73^(1/2)-17)/(2*2)
x = (73^(1/2)-17)/4 or x = (-(73^(1/2)+17))/4
(x+(73^(1/2)+17)/4)*(x-((73^(1/2)-17)/4)) = 0
((x+(73^(1/2)+17)/4)*(x-((73^(1/2)-17)/4)))/(x+6) = 0
( x+(73^(1/2)+17)/4 )
x+(73^(1/2)+17)/4 = 0 // - (73^(1/2)+17)/4
x = -((73^(1/2)+17)/4)
( x-((73^(1/2)-17)/4) )
x-((73^(1/2)-17)/4) = 0 // + (73^(1/2)-17)/4
x = (73^(1/2)-17)/4
x in { -((73^(1/2)+17)/4), (73^(1/2)-17)/4 }
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