Question

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Answer 1

3.
а)
$sqrt{2x + 3} = 5 \ 2x + 3 = 25 \ 2x = 25 - 3 \ 2x = 22 \ x = 11$
Проверим:
$sqrt{2 times 11 + 3} = 5 \ 5 = 5$
б)
$sqrt[3]{x + 1} = 2 \ x + 1 = 8 \ x = 8 - 1 \ x = 7$
Проверим:
$sqrt[3]{7 + 1} = 2 \ sqrt[3]{8} = 2 \ 2 = 2$

4.
а)
${x}^{4} = 81 \ x = + - 3 \ x1 = 3 \ x2 = - 3$
б)
${x}^{ frac{1}{4} } = frac{1}{2} \ sqrt[4]{x} = frac{1}{2} \ x = frac{1}{16}$