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Category: Algebra

Question-168721

Question Number 168721 by mathlove last updated on 16/Apr/22 Answered by Rasheed.Sindhi last updated on 16/Apr/22 $${x}^{\mathrm{2}} {f}\left({x}\right)−\mathrm{2}{f}\left(\mathrm{1}/{x}\right)={g}\left({x}\right)……….\left({i}\right) \\ $$$$\left(−{x}\right)^{\mathrm{2}} {f}\left(−{x}\right)−\mathrm{2}{f}\left(−\mathrm{1}/{x}\right)={g}\left(−{x}\right) \\ $$$${x}^{\mathrm{2}} {f}\left({x}\right)−\mathrm{2}{f}\left(\mathrm{1}/{x}\right)=−{g}\left({x}\right)……\left({ii}\right) \\…

3-3-250-7-3-16-4-3-54-

Question Number 37642 by rajkashyap9870351376@gmail.com last updated on 16/Jun/18 $$\mathrm{3}^{\mathrm{3}\sqrt{\mathrm{250}}+\mathrm{7}^{\mathrm{3}\sqrt{\mathrm{16}}−\mathrm{4}^{\mathrm{3}\sqrt{\mathrm{54}}} } } \\ $$ Answered by Rio Mike last updated on 16/Jun/18 $$\mathrm{3}^{\mathrm{3}×\mathrm{5}\sqrt{\mathrm{10}}\:+\:\mathrm{7}^{\mathrm{12}\:−\:\mathrm{4}\:\mathrm{9}\sqrt{\mathrm{6}}} } \\…

Given-x-x-x-How-many-real-solutions-from-equation-x-x-2-1-with-10-x-10-

Question Number 37627 by Joel579 last updated on 16/Jun/18 $$\mathrm{Given}\:\left\{{x}\right\}\:=\:{x}\:−\:\lfloor{x}\rfloor \\ $$$$\mathrm{How}\:\mathrm{many}\:\mathrm{real}\:\mathrm{solutions}\:\mathrm{from}\:\mathrm{equation} \\ $$$$\left\{{x}\right\}\:+\:\left\{{x}^{\mathrm{2}} \right\}\:=\:\mathrm{1} \\ $$$$\mathrm{with}\:−\mathrm{10}\:\leqslant\:{x}\:\leqslant\:\mathrm{10}\:? \\ $$ Answered by ajfour last updated on…

2-x-y-2-7-x-y-N-x-y-

Question Number 168672 by mathlove last updated on 15/Apr/22 $$\mathrm{2}^{{x}} ={y}^{\mathrm{2}} +\mathrm{7}\:\:\:\:\:\:\:\:\:{x},{y}\in{N} \\ $$$${x}=?\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{y}=? \\ $$ Commented by safojontoshtemirov last updated on 15/Apr/22 $${x}=\mathrm{3}\:\:\:{y}=\mathrm{1}\:\:\:\:{x}=\mathrm{7}\:\:\:\:{y}=\mathrm{11} \\…