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)
${x}^{ \frac{1}{4} } = \frac{1}{2} \\ \sqrt[4]{x} = \frac{1}{2} \\ x = \frac{1}{16}$