Чему ровно [tex]N^{3} [/tex] если [tex]N=\sqrt{6\sqrt{7\sqrt{6\sqrt{7\sqrt{...}}}[/tex]. Created by katerinataikos. algebra-ru

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katerinataikos @katerinataikos

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Чему ровно [tex]N^{3} [/tex] если [tex]N=\sqrt{6\sqrt{7\sqrt{6\sqrt{7\sqrt{...}}}[/tex]

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nelle987

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$N=\sqrt{6\sqrt{7\sqrt{6\sqrt{7\sqrt{...}}}}}\\N^2=6\sqrt{7\sqrt{6\sqrt{7\sqrt{...}}}}\\N^3=36\cdot7\sqrt{6\sqrt{7\sqrt{...}}}=252N\\ N^3-252N=0\\ N=\sqrt{252}=6\sqrt7\\ N^3=1512\sqrt7$

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sobaka presleduet zajca rasstoyanie mezhdu sobakoj i zajcem ravno 40 zayachim pryzh

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