Question Number 152431 by fotosy2k last updated on 28/Aug/21 Commented by fotosy2k last updated on 28/Aug/21 $${help}\:{pls} \\ $$ Commented by EDWIN88 last updated on…
Question Number 21357 by Tinkutara last updated on 21/Sep/17 $$\mathrm{Solve}\::\:\mathrm{log}_{\mathrm{2}{x}+\mathrm{3}} {x}^{\mathrm{2}} \:<\:\mathrm{1} \\ $$ Answered by dioph last updated on 21/Sep/17 $$\mathrm{2}{x}\:+\:\mathrm{3}\:>\:\mathrm{0}\:\Rightarrow\:{x}\:>\:−\frac{\mathrm{3}}{\mathrm{2}} \\ $$$$\mathrm{2}{x}\:+\:\mathrm{3}\:\neq\:\mathrm{1}\:\Rightarrow\:{x}\:\neq\:−\mathrm{1} \\…
Question Number 21356 by Tinkutara last updated on 21/Sep/17 $$\mathrm{Solve}\::\:\sqrt[{\mathrm{3}}]{\mathrm{2}^{\frac{\mathrm{3}{x}−\mathrm{1}}{{x}−\mathrm{1}}} }\:<\:\mathrm{8}^{\frac{{x}−\mathrm{3}}{\mathrm{3}{x}−\mathrm{7}}} \\ $$ Answered by dioph last updated on 21/Sep/17 $${x}−\mathrm{1}\:\neq\:\mathrm{0}\:\Rightarrow\:{x}\:\neq\:\mathrm{1} \\ $$$$\mathrm{3}{x}−\mathrm{7}\:\neq\:\mathrm{0}\:\Rightarrow\:{x}\:\neq\:\frac{\mathrm{7}}{\mathrm{3}} \\ $$$$\mathrm{2}^{\frac{\mathrm{1}}{\mathrm{3}}×\frac{\mathrm{3}{x}−\mathrm{1}}{{x}−\mathrm{1}}}…
Question Number 21355 by Tinkutara last updated on 21/Sep/17 $$\mathrm{Solve}\::\:\mid{x}^{\mathrm{2}} \:+\:\mathrm{3}{x}\mid\:+\:{x}^{\mathrm{2}} \:−\:\mathrm{2}\:\geqslant\:\mathrm{0} \\ $$ Answered by mrW1 last updated on 22/Sep/17 $$\mid\mathrm{x}^{\mathrm{2}} +\mathrm{3x}\mid\geqslant\mathrm{2}−\mathrm{x}^{\mathrm{2}} \\ $$$$…
Question Number 21354 by Tinkutara last updated on 21/Sep/17 $$\mathrm{Solve}\::\:\sqrt{\mathrm{2}{x}\:+\:\mathrm{5}}\:+\:\sqrt{{x}\:−\:\mathrm{1}}\:>\:\mathrm{8} \\ $$ Commented by Tinkutara last updated on 22/Sep/17 $${Where}\:{is}\:{my}\:{mistake}? \\ $$$$\sqrt{\mathrm{2}{x}+\mathrm{5}}+\sqrt{{x}−\mathrm{1}}>\mathrm{8} \\ $$$$\mathrm{2}{x}+\mathrm{5}+{x}−\mathrm{1}+\mathrm{2}\sqrt{\left(\mathrm{2}{x}+\mathrm{5}\right)\left({x}−\mathrm{1}\right)}>\mathrm{64} \\…
Question Number 21353 by Tinkutara last updated on 21/Sep/17 $$\mathrm{A}\:\mathrm{censusman}\:\mathrm{on}\:\mathrm{duty}\:\mathrm{visited}\:\mathrm{a}\:\mathrm{house} \\ $$$$\mathrm{which}\:\mathrm{the}\:\mathrm{lady}\:\mathrm{inmates}\:\mathrm{declined}\:\mathrm{to} \\ $$$$\mathrm{reveal}\:\mathrm{their}\:\mathrm{individual}\:\mathrm{ages},\:\mathrm{but}\:\mathrm{said}\:− \\ $$$$“\mathrm{we}\:\mathrm{do}\:\mathrm{not}\:\mathrm{mind}\:\mathrm{giving}\:\mathrm{you}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{ages}\:\mathrm{of}\:\mathrm{any}\:\mathrm{two}\:\mathrm{ladies}\:\mathrm{you}\:\mathrm{may} \\ $$$$\mathrm{choose}''.\:\mathrm{Thereupon}\:\mathrm{the}\:\mathrm{censusman} \\ $$$$\mathrm{said}\:−\:“\mathrm{In}\:\mathrm{that}\:\mathrm{case}\:\mathrm{please}\:\mathrm{give}\:\mathrm{me}\:\mathrm{the} \\ $$$$\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{ages}\:\mathrm{of}\:\mathrm{every}\:\mathrm{possible}\:\mathrm{pair}\:\mathrm{of} \\…
Question Number 86886 by Rio Michael last updated on 01/Apr/20 Commented by Rio Michael last updated on 01/Apr/20 $$\mathrm{A}\:\mathrm{smooth}\:\mathrm{sphere}\:\mathrm{S}\:\mathrm{of}\:\mathrm{mass}\:\lambda{m}\:,\:\mathrm{moving}\:\mathrm{with}\:\mathrm{speed}\:\lambda{u}\:\:\mathrm{collides}\:\mathrm{with} \\ $$$$\:\mathrm{a}\:\mathrm{smooth}\:\mathrm{sphere}\:\mathrm{T}\:\mathrm{of}\:\:\mathrm{equal}\:\mathrm{radius}\:\mathrm{but}\:\mathrm{mass}\:{m}\:\mathrm{moving}\:\mathrm{with}\:\mathrm{speed}\:{u}. \\ $$$$\mathrm{At}\:\mathrm{impact},\:\mathrm{the}\:\mathrm{direction}\:\mathrm{of}\:\mathrm{motion}\:\mathrm{of}\:\mathrm{each}\:\mathrm{sphere}\:\:\mathrm{makes}\:\mathrm{an}\:\mathrm{angle}\:\theta \\ $$$$\mathrm{with}\:\mathrm{the}\:\mathrm{line}\:\mathrm{of}\:\mathrm{centre}\:\mathrm{as}\:\mathrm{shown}\:\mathrm{above}.…
Question Number 152420 by tabata last updated on 28/Aug/21 $$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \:\frac{{e}^{{sinx}} }{{e}^{{cosx}} +{e}^{{sinx}} }{dx}\:\:\:? \\ $$ Answered by mindispower last updated on 28/Aug/21 $${f}\left({a}+{b}−{x}\right)+{f}\left({x}\right)={c}…
Question Number 21350 by Bruce Lee last updated on 21/Sep/17 $$\boldsymbol{{prove}}\: \\ $$$$\:\sqrt{\mathrm{2}}\:<\:\boldsymbol{{log}}_{\mathrm{8}} \mathrm{19}\:<\:\sqrt[{\mathrm{3}}]{\mathrm{3}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 152417 by Olaf_Thorendsen last updated on 28/Aug/21 $$\boldsymbol{\mathrm{Blague}}\:\boldsymbol{\mathrm{de}}\:\boldsymbol{\mathrm{matheux}}. \\ $$$$ \\ $$$$\mathrm{Les}\:\mathrm{math}\acute {\mathrm{e}maticiens}\:\mathrm{n}'\mathrm{urinent}\:\mathrm{pas}. \\ $$$$ \\ $$$$\mathrm{Ils}\:\mathrm{font}\:\pi\pi. \\ $$$$ \\ $$$$\mathrm{Bon}\:\mathrm{ok}\:\mathrm{je}\:\mathrm{sors}… \\ $$…