Решебник по алгебре 9 класс Макарычев Задание 954

 

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\[\textbf{а)}\frac{1}{8}x³ = 1\]

\[x^{3} = 8\]

\[x³ = 2³\]

\[x = 2\]

\[Ответ:x = 2.\]

\[\textbf{б)}\ 1000x³ + 1 = 0\]

\[x^{3} = - \frac{1}{1000}\]

\[x^{3} = ( - 0,1)^{3}\]

\[x = - 0,1\]

\[Ответ:\ x = - 0,1.\]

\[\textbf{в)}\frac{1}{27}x³ = 0,001\]

\[\left( \frac{x}{3} \right)^{3} = {0,1}^{3}\]

\[\frac{x}{3} = 0,1\]

\[x = 0,3\]

\[Ответ:x = 0,3.\]

\[\textbf{г)}\frac{1}{9}x^{4} - 16 = 0\]

\[x^{4} = 144\]

\[x^{2} = 12\]

\[x = \pm \sqrt{12} = \pm 2\sqrt{3}\]

\[Ответ:\ x = \pm 2\sqrt{3}.\]

\[\textbf{д)}\ 1 + x^{5} = 0\]

\[x^{5} = ( - 1)^{5}\]

\[x = - 1\]

\[Ответ:\ x = - 1.\]

\[\textbf{е)}\ x^{8} - 16 = 0\]

\[x^{8} = 16\]

\[\left( x^{2} \right)^{4} = 2^{4}\]

\[x^{2} = 2\]

\[x = \pm \sqrt{2}\]

\[Ответ:\ x = \pm \sqrt{2}.\]