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D( x )
x^2-(6*x)-16 = 0
x^2-(6*x)-16 = 0
x^2-(6*x)-16 = 0
x^2-6*x-16 = 0
x^2-6*x-16 = 0
DELTA = (-6)^2-(-16*1*4)
DELTA = 100
DELTA > 0
x = (100^(1/2)+6)/(1*2) or x = (6-100^(1/2))/(1*2)
x = 8 or x = -2
x in (-oo:-2) U (-2:8) U (8:+oo)
(x^3+11*x^2+18*x)/(x^2-(6*x)-16) = 0
(x^3+11*x^2+18*x)/(x^2-6*x-16) = 0
x^3+11*x^2+18*x = 0
x*(x^2+11*x+18) = 0
x^2+11*x+18 = 0
DELTA = 11^2-(1*4*18)
DELTA = 49
DELTA > 0
x = (49^(1/2)-11)/(1*2) or x = (-49^(1/2)-11)/(1*2)
x = -2 or x = -9
x*(x+9)*(x+2) = 0
x^2-6*x-16 = 0
x^2-6*x-16 = 0
DELTA = (-6)^2-(-16*1*4)
DELTA = 100
DELTA > 0
x = (100^(1/2)+6)/(1*2) or x = (6-100^(1/2))/(1*2)
x = 8 or x = -2
(x+2)*(x-8) = 0
(x*(x+9)*(x+2))/((x+2)*(x-8)) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x+9 )
x+9 = 0 // - 9
x = -9
( x )
x = 0
x in { -2}
x in { -9, 0 }
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