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3.
а)
![sqrt{2x + 3} = 5 \ 2x + 3 = 25 \ 2x = 25 - 3 \ 2x = 22 \ x = 11 sqrt{2x + 3} = 5 \ 2x + 3 = 25 \ 2x = 25 - 3 \ 2x = 22 \ x = 11](https://tex.z-dn.net/?f=+sqrt%7B2x+%2B+3%7D++%3D+5+%5C+2x+%2B+3+%3D+25+%5C+2x+%3D+25+-+3+%5C+2x+%3D+22+%5C+x+%3D+11)
Проверим:
![sqrt{2 times 11 + 3} = 5 \ 5 = 5 sqrt{2 times 11 + 3} = 5 \ 5 = 5](https://tex.z-dn.net/?f=+sqrt%7B2+times+11+%2B+3%7D++%3D+5+%5C+5+%3D+5+)
б)
![sqrt[3]{x + 1} = 2 \ x + 1 = 8 \ x = 8 - 1 \ x = 7 sqrt[3]{x + 1} = 2 \ x + 1 = 8 \ x = 8 - 1 \ x = 7](https://tex.z-dn.net/?f=+sqrt%5B3%5D%7Bx+%2B+1%7D++%3D+2+%5C+x+%2B+1+%3D+8+%5C+x+%3D+8+-+1+%5C+x+%3D+7)
Проверим:
![sqrt[3]{7 + 1} = 2 \ sqrt[3]{8} = 2 \ 2 = 2 sqrt[3]{7 + 1} = 2 \ sqrt[3]{8} = 2 \ 2 = 2](https://tex.z-dn.net/?f=+sqrt%5B3%5D%7B7+%2B+1%7D++%3D+2+%5C+sqrt%5B3%5D%7B8%7D++%3D+2+%5C+2+%3D+2)
4.
а)
![{x}^{4} = 81 \ x = + - 3 \ x1 = 3 \ x2 = - 3 {x}^{4} = 81 \ x = + - 3 \ x1 = 3 \ x2 = - 3](https://tex.z-dn.net/?f=+%7Bx%7D%5E%7B4%7D++%3D+81+%5C+x+%3D++%2B++-+3+%5C+x1+%3D+3+%5C+x2+%3D++-+3)
б)
![{x}^{ frac{1}{4} } = frac{1}{2} \ sqrt[4]{x} = frac{1}{2} \ x = frac{1}{16} {x}^{ frac{1}{4} } = frac{1}{2} \ sqrt[4]{x} = frac{1}{2} \ x = frac{1}{16}](https://tex.z-dn.net/?f=+%7Bx%7D%5E%7B+frac%7B1%7D%7B4%7D+%7D+++%3D++frac%7B1%7D%7B2%7D++%5C++sqrt%5B4%5D%7Bx%7D++%3D++frac%7B1%7D%7B2%7D++%5C+x++%3D++frac%7B1%7D%7B16%7D+)
а)
Проверим:
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Проверим:
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б)
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