Question Number 90716 by jagoll last updated on 25/Apr/20 $${If}\:{x}\:+\:\frac{\mathrm{1}}{{x}}\:=\:\mathrm{4}\:,\:{what}\:{the}\: \\ $$$${value}\:{of}\:\frac{{x}^{\mathrm{6}} −\mathrm{1}}{{x}^{\mathrm{3}} } \\ $$ Commented by john santu last updated on 25/Apr/20 $${x}^{\mathrm{2}}…
Question Number 156252 by cortano last updated on 09/Oct/21 Commented by john_santu last updated on 09/Oct/21 $${area}\:{of}\:{the}\:{red}\:{square}=\mathrm{32}\:{sq}\:{units} \\ $$ Answered by talminator2856791 last updated on…
Question Number 25173 by NECx last updated on 05/Dec/17 $${Show}\:{that}\:{for}\:{all}\:{n}\epsilon{N}−\left\{\mathrm{0}\right\}\: \\ $$$$\mathrm{7}^{\mathrm{2}{n}+\mathrm{1}} +\mathrm{1}\:{is}\:{an}\:{integer}\:\:{multiple}\:{of} \\ $$$$\mathrm{8}. \\ $$ Answered by ajfour last updated on 05/Dec/17 $$\mathrm{7}^{\mathrm{2}{n}+\mathrm{1}}…
Question Number 25170 by NECx last updated on 05/Dec/17 $${prove}\:{that}\:{n}^{\mathrm{2}} >{n}−\mathrm{5}\:{for}\:{integral}\: \\ $$$${n}\geqslant\mathrm{3}\: \\ $$ Commented by mrW1 last updated on 06/Dec/17 $${maybe}\:{the}\:{question}\:{is} \\ $$$${n}^{\mathrm{2}}…
Question Number 25171 by NECx last updated on 05/Dec/17 $$\mathrm{100}{n}>{n}^{\mathrm{2}} \:{for}\:{integral}\:{n}>\mathrm{100} \\ $$$$ \\ $$ Answered by ajfour last updated on 05/Dec/17 $${n}\:>\:\mathrm{100} \\ $$$${n}={n}…
Question Number 156213 by MathSh last updated on 09/Oct/21 $$\Omega\:=\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\mathrm{log}^{\mathrm{2}} \:\left(\frac{\Gamma\left(\mathrm{x}+\mathrm{1}\right)}{\mathrm{x}}\right)\:\mathrm{dx}\:=\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 25122 by math solver last updated on 04/Dec/17 $$\:\mathrm{3}_{{C}_{\mathrm{1}} } \:+\:\mathrm{4}_{{C}_{\mathrm{2}} } \:+\:\mathrm{5}_{{C}_{\mathrm{3}} } \:+………..+\:\mathrm{49}_{{C}_{\mathrm{47}} } \:=\:? \\ $$$${where}\:{n}_{{C}_{{r}} } \:=\:\frac{{n}!}{{r}!×\left({n}−{r}\right)!}\:. \\ $$…
Question Number 90661 by Cynosure last updated on 25/Apr/20 $${show}\:{that}\:\left({n}^{\mathrm{4}} −{n}^{\mathrm{2}} \right)\:{is}\:{divisible}\:{by}\:\mathrm{12} \\ $$ Answered by MJS last updated on 25/Apr/20 $${n}^{\mathrm{4}} −{n}^{\mathrm{2}} ={n}^{\mathrm{2}} \left({n}^{\mathrm{2}}…
Question Number 25113 by Mr easy last updated on 04/Dec/17 Commented by prakash jain last updated on 05/Dec/17 $$\left(\mathrm{log}_{\mathrm{2}} {x}\right)^{\mathrm{3}} +\left(\mathrm{log}_{\mathrm{2}} {y}\right)^{\mathrm{3}} \\ $$$$=\left(\mathrm{log}_{\mathrm{2}} {x}+\mathrm{log}_{\mathrm{2}}…