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Category: Arithmetic

6-x-2-2-3-x-find-x-

Question Number 22345 by ibraheem160 last updated on 16/Oct/17 $$\mathrm{6}^{\mathrm{x}+\mathrm{2}} =\mathrm{2}\left(\mathrm{3}^{\mathrm{x}} \right),\:\mathrm{find}\:\mathrm{x}? \\ $$ Commented by JI Siam last updated on 21/Dec/17 $$\mathrm{Here}\:\mathrm{6}^{\mathrm{x}+\mathrm{1}} =\mathrm{3}^{\mathrm{x}−\mathrm{1}} \:\mathrm{so},\mathrm{likely}\:\mathrm{x}\:\mathrm{is}\:\mathrm{not}\:\mathrm{a}\:\mathrm{normal}\:\mathrm{number}.…

posons-1-2-3-n-a-n-b-n-3-montre-que-pgcd-a-n-b-n-1-

Question Number 87878 by Cmr 237 last updated on 06/Apr/20 $${posons}\: \\ $$$$\left(\mathrm{1}+\mathrm{2}\sqrt{\mathrm{3}}\right)^{\boldsymbol{{n}}} =\boldsymbol{\mathrm{a}}_{\boldsymbol{\mathrm{n}}} +\boldsymbol{\mathrm{b}}_{\boldsymbol{\mathrm{n}}} \sqrt{\mathrm{3}} \\ $$$$\boldsymbol{\mathrm{montre}}\:\boldsymbol{\mathrm{que}}\:\boldsymbol{\mathrm{pgcd}}\left(\boldsymbol{\mathrm{a}}_{\boldsymbol{\mathrm{n}}} ;\boldsymbol{{b}}_{\boldsymbol{{n}}} \right)=\mathrm{1} \\ $$ Answered by mind…

posons-1-2-3-n-a-n-b-n-3-montre-que-pgcd-a-n-b-n-1-

Question Number 87877 by Cmr 237 last updated on 06/Apr/20 $${posons}\: \\ $$$$\left(\mathrm{1}+\mathrm{2}\sqrt{\mathrm{3}}\right)^{\boldsymbol{{n}}} =\boldsymbol{\mathrm{a}}_{\boldsymbol{\mathrm{n}}} +\boldsymbol{\mathrm{b}}_{\boldsymbol{\mathrm{n}}} \sqrt{\mathrm{3}} \\ $$$$\boldsymbol{\mathrm{montre}}\:\boldsymbol{\mathrm{que}}\:\boldsymbol{\mathrm{pgcd}}\left(\boldsymbol{\mathrm{a}}_{\boldsymbol{\mathrm{n}}} ;\boldsymbol{{b}}_{\boldsymbol{{n}}} \right)=\mathrm{1} \\ $$ Terms of Service…

Question-22276

Question Number 22276 by kasiulka202 last updated on 14/Oct/17 Answered by Joel577 last updated on 14/Oct/17 $$\mathrm{9}\:+\:\left(\mathrm{7}\:×\:\mathrm{2}\right)\:−\:\left(\mathrm{10}\:×\:\mathrm{4}\right)\:−\:\mathrm{5} \\ $$$$=\:\mathrm{9}\:+\:\mathrm{14}\:−\:\mathrm{40}\:−\:\mathrm{5} \\ $$$$=\:\mathrm{23}\:−\:\mathrm{40}\:−\:\mathrm{5} \\ $$$$=\:−\mathrm{17}\:−\:\mathrm{5} \\ $$$$=\:−\mathrm{22}…

Ant-rided-30-meters-in-12-seconds-How-fast-are-rided-ant-

Question Number 22273 by kasiulka202 last updated on 14/Oct/17 $${Ant}\:{rided}\:\mathrm{30}\:{meters}\:{in}\:\mathrm{12}\:{seconds}.\:{How}\:{fast}\:{are}\:{rided}\:{ant}? \\ $$ Commented by Rasheed.Sindhi last updated on 14/Oct/17 $$\:\mathrm{Speed}\:\mathrm{of}\:\mathrm{the}\:\mathrm{ant}=\frac{\mathrm{30}}{\mathrm{12}}\:\:=\mathrm{2}.\mathrm{5}\:\mathrm{m}/\mathrm{s}. \\ $$ Terms of Service…

Product-costs-599-99-zloty-Person-have-433-94-zloty-How-muh-zloty-is-a-rest-or-missing-

Question Number 22269 by kasiulka202 last updated on 14/Oct/17 $${Product}\:{costs}\:\mathrm{599}.\mathrm{99}\:{zloty}.\:{Person}\:{have}\:\mathrm{433}.\mathrm{94}\:{zloty}. \\ $$$${How}\:{muh}\:{zloty}\:{is}\:{a}\:{rest}\:{or}\:{missing}? \\ $$ Answered by FilupS last updated on 14/Oct/17 $$\mathrm{599}.\mathrm{99}={x}+\mathrm{433}.\mathrm{94} \\ $$$${x}=\mathrm{599}.\mathrm{99}−\mathrm{433}.\mathrm{94} \\…