Category: Algebra

Question Number 192172 by mehdee42 last updated on 10/May/23 $$Q1\therefore x=<1a_1{a}_2\dots a_n>\in \mathbb{N}\mathrm{\&}y=<a_1{a}_2\dots a_{n}1>\in \mathbb{N}$$$$ify=3xthen,findthesmallest$$$$valueofx$$$$Q2\therefore withtheaboveconditions,whatothervalues$$$${can}\:{be}\:{placed}\:\:{besides}\:{the}\:{number}\:“\:\mathrm{1}\:''\: \…

Question Number 126619 by O Predador last updated on 22/Dec/20 $$$$$$5^{\mathbf{x}}+7^{\mathbf{x}}={(9.8)}^{\mathbf{x}}$$$$$$$$\mathbf{x}=?$$$$$$ Answered by…

Question Number 192143 by Shrinava last updated on 09/May/23 $$\mathrm{Find}:$$$$\frac{7}{2}+\frac{77}{22}+\frac{777}{222}+\frac{7777}{2222}+\dots +\frac{77777777}{22222222}$$ Commented by AST last updated on 09/May/23 $$=\frac{7}{2}\times 8=28$$ Commented…

Question Number 192134 by mustafazaheen last updated on 09/May/23 $$\mathrm{when}{(\sqrt{2}+1)}^7=\sqrt{57125}+\sqrt{57124}$$$$\mathrm{then}{(\sqrt{2}-1)}^7=?$$ Answered by som(math1967) last updated on 09/May/23 $$\:\:\left(\sqrt{\mathrm{2}}−\mathrm{1}\right)\left(\sqrt{\mathrm{2}}+\mathrm{1}\right)=\mathrm{1} \…

Question Number 192062 by mehdee42 last updated on 07/May/23 $$proveit:$$$$times\mathrm{\_}n;\sqrt{4+\sqrt{4+\sqrt{4+\dots +\sqrt{4}}}}<3$$ Commented by ajfour last updated on 08/May/23 $$but4>3$$$${how}\:{can}\:{this}\:{be}… \…