<u><em>Номер 1.
</em></u>
![7- \sqrt{x+1} =2](https://tex.z-dn.net/?f=7-+%5Csqrt%7Bx%2B1%7D+%3D2)
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О.О.У.
![x+1 \geq 0](https://tex.z-dn.net/?f=x%2B1+%5Cgeq+0)
![x \geq -1](https://tex.z-dn.net/?f=x+%5Cgeq+-1)
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![- \sqrt{x+1}=2-7](https://tex.z-dn.net/?f=-+%5Csqrt%7Bx%2B1%7D%3D2-7)
![\sqrt{x+1} =5](https://tex.z-dn.net/?f=+%5Csqrt%7Bx%2B1%7D+%3D5)
x=24<u><em>
</em></u>Ответ: 24<em /><u><em>
Номер 2.
</em></u><u />
![\sqrt{(6+x)} * \sqrt{(6-x)}=x](https://tex.z-dn.net/?f=+%5Csqrt%7B%286%2Bx%29%7D+%2A+%5Csqrt%7B%286-x%29%7D%3Dx)
![\sqrt{36-x^2} =x](https://tex.z-dn.net/?f=+%5Csqrt%7B36-x%5E2%7D+%3Dx)
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О.О.У.
![36-x^2 \geq 0](https://tex.z-dn.net/?f=36-x%5E2+%5Cgeq+0)
![x \leq 6](https://tex.z-dn.net/?f=x+%5Cleq+6)
![x \leq -6](https://tex.z-dn.net/?f=x+%5Cleq+-6)
<u><em>--------------------------------------</em></u><u><em>
</em></u>
![36-x^2=x^2](https://tex.z-dn.net/?f=36-x%5E2%3Dx%5E2)
<em>
</em><em />
![-2x^2+36=0](https://tex.z-dn.net/?f=-2x%5E2%2B36%3D0)
![x=3 \sqrt{2}](https://tex.z-dn.net/?f=x%3D3+%5Csqrt%7B2%7D+)
![x=-3 \sqrt{2}](https://tex.z-dn.net/?f=x%3D-3+%5Csqrt%7B2%7D+)
<em />Ответ:<em /><em>3√2, -3√2</em><u><em>
</em></u><em><u>Номер 6. </u></em><u><em>
</em></u>О.О.У.<em />
![1-x \geq 0](https://tex.z-dn.net/?f=1-x+%5Cgeq+0)
![x \leq 1](https://tex.z-dn.net/?f=x++%5Cleq+1)
![5-2x \geq 0](https://tex.z-dn.net/?f=5-2x+%5Cgeq+0)
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![\sqrt{5-2x} =1-x](https://tex.z-dn.net/?f=+%5Csqrt%7B5-2x%7D+%3D1-x)
![(5-2x)=(1-x)^2](https://tex.z-dn.net/?f=%285-2x%29%3D%281-x%29%5E2)
![5-2x=1-2x+x^2](https://tex.z-dn.net/?f=5-2x%3D1-2x%2Bx%5E2)
![-x^2+4=0](https://tex.z-dn.net/?f=-x%5E2%2B4%3D0)
x=2 , не подходит по О.О.У.
x=-2
Ответ: 2) промежуток от (-4;-3)
<u><em>Номер 7. </em></u>
Приравняем:
![\sqrt{7-6x^2}=x](https://tex.z-dn.net/?f=+%5Csqrt%7B7-6x%5E2%7D%3Dx)
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О.О.У.
![x \geq 0](https://tex.z-dn.net/?f=x+%5Cgeq+0)
![7-6x^2 \geq 0](https://tex.z-dn.net/?f=7-6x%5E2+%5Cgeq+0)
-----------------------------------------
![7-6x^2=x^2](https://tex.z-dn.net/?f=7-6x%5E2%3Dx%5E2)
![7-7x^2=0](https://tex.z-dn.net/?f=7-7x%5E2%3D0)
![1-x^2=0](https://tex.z-dn.net/?f=1-x%5E2%3D0)
x=1
x=-1, не подходит по О.О.У.
Ответ:3) 1.
<u><em>Номер 8. </em></u>
![\sqrt{6-4x-x^2} -4=x](https://tex.z-dn.net/?f=+%5Csqrt%7B6-4x-x%5E2%7D+-4%3Dx)
![\sqrt{6-4x-x^2} =4+x](https://tex.z-dn.net/?f=+%5Csqrt%7B6-4x-x%5E2%7D+%3D4%2Bx)
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О.О.У.
![4+x \geq 0](https://tex.z-dn.net/?f=4%2Bx++%5Cgeq+0)
![x \geq -4](https://tex.z-dn.net/?f=x+%5Cgeq+-4)
![-x^2-4x+6 \geq 0](https://tex.z-dn.net/?f=-x%5E2-4x%2B6+%5Cgeq+0)
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Возведем в квадрат:
![-x^2-4x+6=(x+4)^2](https://tex.z-dn.net/?f=-x%5E2-4x%2B6%3D%28x%2B4%29%5E2)
![-x^2-4x+6=x^2+8x+16](https://tex.z-dn.net/?f=-x%5E2-4x%2B6%3Dx%5E2%2B8x%2B16)
|*(-1)
![x^2+4x-6+x^2+8x+16=0](https://tex.z-dn.net/?f=x%5E2%2B4x-6%2Bx%5E2%2B8x%2B16%3D0)
x1=-1
x2=-5, не подходит по О.О.У.
По условию х0=х1=3*х0+1=-3+1=-2
Ответ:1) -2.