N1=1^2-1/2=1/2
n2=2^2-2/2=4-1=3
n3=3^2-3/2=9-3/2=15/2
(a-b)(a+b)=a-b
![(\sqrt{x-13}+\sqrt{x+13})(\sqrt{x-13}-\sqrt{x+13})=\sqrt{x-13}^2-\sqrt{x+13}^2=x-13-x-13=-26](https://tex.z-dn.net/?f=%28%5Csqrt%7Bx-13%7D%2B%5Csqrt%7Bx%2B13%7D%29%28%5Csqrt%7Bx-13%7D-%5Csqrt%7Bx%2B13%7D%29%3D%5Csqrt%7Bx-13%7D%5E2-%5Csqrt%7Bx%2B13%7D%5E2%3Dx-13-x-13%3D-26)
то есть
![(\sqrt{x-13}+\sqrt{x+13})(\sqrt{x-13}-\sqrt{x+13})=-26](https://tex.z-dn.net/?f=%28%5Csqrt%7Bx-13%7D%2B%5Csqrt%7Bx%2B13%7D%29%28%5Csqrt%7Bx-13%7D-%5Csqrt%7Bx%2B13%7D%29%3D-26)
подставим в это выражение ![\sqrt{x-13}-\sqrt{x+13}=-1](https://tex.z-dn.net/?f=%5Csqrt%7Bx-13%7D-%5Csqrt%7Bx%2B13%7D%3D-1)
![-1*(\sqrt{x-13}+\sqrt{x+13})=-26](https://tex.z-dn.net/?f=-1%2A%28%5Csqrt%7Bx-13%7D%2B%5Csqrt%7Bx%2B13%7D%29%3D-26)
![\sqrt{x-13}+\sqrt{x+13}=26](https://tex.z-dn.net/?f=%5Csqrt%7Bx-13%7D%2B%5Csqrt%7Bx%2B13%7D%3D26)
Ответ: 26
5х²-6х-6х²=5-17
х(5х-6-6х)=-12
х=-12 - первый корень
5х-6-6х=-12
х-6=-12
х=-12+6
х=-6 - второй корень
17х²+17х=15х²+7х+36
17х²+17х-15х²-7х=-36
17х²+10х-15х²=-36
2х²+10х=-36
х(х-10)= -36
х= -36 - первый корень
х-10=-36
х=-36+10
х=-26 - второй корень
![\textbf{(2-} \frac{\textbf{6}}{\textbf{x}} )\cdot(\textbf{1-} \frac{\textbf{x-1}}{\textbf{2x-6}} )<\textbf{0}](https://tex.z-dn.net/?f=%5Ctextbf%7B%282-%7D+%5Cfrac%7B%5Ctextbf%7B6%7D%7D%7B%5Ctextbf%7Bx%7D%7D+%29%5Ccdot%28%5Ctextbf%7B1-%7D+%5Cfrac%7B%5Ctextbf%7Bx-1%7D%7D%7B%5Ctextbf%7B2x-6%7D%7D+%29%3C%5Ctextbf%7B0%7D)
Отметим ОДЗ.
![\left \{ {{\textbf{x} \neq \textbf{0}} \atop {\textbf{2x-6} \neq \textbf{0}}} \right.](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B%5Ctextbf%7Bx%7D+%5Cneq+%5Ctextbf%7B0%7D%7D+%5Catop+%7B%5Ctextbf%7B2x-6%7D+%5Cneq+%5Ctextbf%7B0%7D%7D%7D+%5Cright.+)
<em>
</em><em>Решаем уравнение:
</em>
![\textbf{2-} \frac{\textbf{6}}{\textbf{x}} \textbf{=0} \\ \textbf{2x=6} \\ \textbf{x=3} \\ \\ \textbf{1-} \frac{\textbf{x-1}}{\textbf{2x-6}}\textbf{=0} \\ \\ \textbf{2x-6-x+1=0} \\ \\ \textbf{x=5}](https://tex.z-dn.net/?f=%5Ctextbf%7B2-%7D+%5Cfrac%7B%5Ctextbf%7B6%7D%7D%7B%5Ctextbf%7Bx%7D%7D+%5Ctextbf%7B%3D0%7D+%5C%5C+%5Ctextbf%7B2x%3D6%7D+%5C%5C+%5Ctextbf%7Bx%3D3%7D+%5C%5C++%5C%5C+%5Ctextbf%7B1-%7D+%5Cfrac%7B%5Ctextbf%7Bx-1%7D%7D%7B%5Ctextbf%7B2x-6%7D%7D%5Ctextbf%7B%3D0%7D++%5C%5C++%5C%5C+%5Ctextbf%7B2x-6-x%2B1%3D0%7D+%5C%5C++%5C%5C+%5Ctextbf%7Bx%3D5%7D)
<em>Полученное решение отметим на рисунке
</em><em>
</em>
<em>___+__(0)___-__(3)___-___(5)___+____>
</em>Решение неравенства:
<em><u>Cумма целых чисел: </u></em>![\textbf{1+2+4=7}](https://tex.z-dn.net/?f=%5Ctextbf%7B1%2B2%2B4%3D7%7D)
<em><u>
Ответ: </u></em>
![\textbf{7.}](https://tex.z-dn.net/?f=%5Ctextbf%7B7.%7D)