![1)x^{2}(3x-5)\geq0\\\\3x^{2}(x-1\frac{2}{3})\geq0\\\\x^{2}(x-1\frac{2}{3})\geq0 1)x^{2}(3x-5)\geq0\\\\3x^{2}(x-1\frac{2}{3})\geq0\\\\x^{2}(x-1\frac{2}{3})\geq0](https://tex.z-dn.net/?f=1%29x%5E%7B2%7D%283x-5%29%5Cgeq0%5C%5C%5C%5C3x%5E%7B2%7D%28x-1%5Cfrac%7B2%7D%7B3%7D%29%5Cgeq0%5C%5C%5C%5Cx%5E%7B2%7D%28x-1%5Cfrac%7B2%7D%7B3%7D%29%5Cgeq0)
- - +
__________[0]___________[1 2/3]____________
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x ∈ 0 ; [1 2/3 ; + ∞)
![2)\frac{x^{2}-9 }{2x+5}\leq 0 2)\frac{x^{2}-9 }{2x+5}\leq 0](https://tex.z-dn.net/?f=2%29%5Cfrac%7Bx%5E%7B2%7D-9%20%7D%7B2x%2B5%7D%5Cleq%200)
Заменим частное произведением :
(x² - 9)(2x + 5) ≤ 0
2(x - 3)(x + 3)(x + 2,5) ≤ 0
(x - 3)(x + 3)(x + 2,5) ≤ 0 , x ≠ - 2,5
- + - +
_________[- 3]__________(- 2,5)___________[3]_____________
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x ∈ (- ∞ ; - 3] ∪ (- 2,5 ; 3]