найдите сумму целых решений неравенства:
(9-x^2):(3x^2-2x-1) больше или равно 0
(9-x^2)/(3x^2-2x-1)≥0,
(9-x^2)(3x^2-2x-1)≥0, 3x^2-2x-1≠0,
(9-x^2)(3x^2-2x-1)≥0,
9-x^2=0,
(3-x)(3+x)=0,
x1=-3,x2=3,
3x^2-2x-1=0,
D1=4,
x3=-1/3, x4=1,
-(x+3)(x+1/3)(x-1)(x-3)≥0,
(x+3)(x+1/3)(x-1)(x-3)≤0,
x∈[-3;-1/3)U(1;3],
-3+(-2)+(-1)+2+3=-1
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Verified answer
(9-x^2)/(3x^2-2x-1)≥0,
(9-x^2)(3x^2-2x-1)≥0, 3x^2-2x-1≠0,
(9-x^2)(3x^2-2x-1)≥0,
9-x^2=0,
(3-x)(3+x)=0,
x1=-3,x2=3,
3x^2-2x-1=0,
D1=4,
x3=-1/3, x4=1,
-(x+3)(x+1/3)(x-1)(x-3)≥0,
(x+3)(x+1/3)(x-1)(x-3)≤0,
x∈[-3;-1/3)U(1;3],
-3+(-2)+(-1)+2+3=-1