Question Number 199308 by AR19 last updated on 01/Nov/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 199309 by universe last updated on 01/Nov/23 $$\:\:\:\:{a}_{{n}+\mathrm{1}\:} =\:{a}_{{n}} \:+\:\sqrt{{a}_{{n}} ^{\mathrm{2}} \:+\:\mathrm{1}}\:\:,\:{a}_{\mathrm{0}} \:=\:\mathrm{0} \\ $$$$\:\:\:\:\mathrm{find}\:\mathrm{a}_{\mathrm{n}\:} \:=\:\:?? \\ $$ Answered by TheHoneyCat last updated…
Question Number 199290 by ajfour last updated on 31/Oct/23 $${If}\:{x}=\sqrt{{p}+{iq}}+\sqrt{{h}+{ik}} \\ $$$${and}\:\:\frac{{p}}{{q}}\neq\frac{{k}}{{h}}\:\:{then}\:{relate}\:{p},{q},{h},{k}\:\in\mathbb{R} \\ $$$${such}\:{that}\:{x}\in\mathbb{R}. \\ $$ Commented by Frix last updated on 31/Oct/23 $$\sqrt{{x}+{y}\mathrm{i}}={r}\mathrm{e}^{\mathrm{i}\theta} \:\mathrm{with}\:{r}>\mathrm{0}\wedge−\frac{\pi}{\mathrm{2}}<\theta\leqslant\frac{\pi}{\mathrm{2}}…
Question Number 199259 by hardmath last updated on 30/Oct/23 Commented by Frix last updated on 30/Oct/23 $$\sqrt{\sqrt{\mathrm{12345689654321233}\pm\mathrm{5333334096}\sqrt{\mathrm{12345679}}}}= \\ $$$$=\sqrt{\mathrm{111111127}\pm\mathrm{24}\sqrt{\mathrm{12345679}}}= \\ $$$$=\pm\mathrm{4}+\mathrm{3}\sqrt{\mathrm{12345679}} \\ $$$$\sqrt[{\mathrm{3}}]{{x}−{y}}=\sqrt[{\mathrm{4}}]{\mathrm{8}}=\mathrm{2} \\ $$…
Question Number 199226 by mr W last updated on 30/Oct/23 $${find} \\ $$$$\frac{\mathrm{2}\:\mathrm{sin}\:\mathrm{2}°+\mathrm{4}\:\mathrm{sin}\:\mathrm{4}°+…+\mathrm{180}\:\mathrm{sin}\:\mathrm{180}°}{\mathrm{90}}=? \\ $$$$ \\ $$$$\left[{an}\:{unsolved}\:{old}\:{question}\:#\mathrm{198900}\right] \\ $$ Answered by mr W last updated…
Question Number 199230 by hardmath last updated on 29/Oct/23 $$\mathrm{x}\:,\:\mathrm{y}\::\:\:\:\mathrm{positive}\:\mathrm{real}\:\mathrm{numbers} \\ $$$$\mathrm{If}\::\:\:\:\mathrm{15}^{\boldsymbol{\mathrm{x}}} \:=\:\mathrm{9}^{\boldsymbol{\mathrm{y}}} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{5}^{\frac{\mathrm{3}\boldsymbol{\mathrm{x}}}{\mathrm{2}\boldsymbol{\mathrm{y}}\:−\:\boldsymbol{\mathrm{x}}}} \:\:=\:\:? \\ $$ Answered by AST last updated on 29/Oct/23…
Question Number 199194 by hardmath last updated on 29/Oct/23 $$\mathrm{a}_{\mathrm{1}} ,\mathrm{a}_{\mathrm{2}} ,… \\ $$$$\mathrm{a}_{\mathrm{1}} =\mathrm{1} \\ $$$$\mathrm{a}_{\mathrm{2n}} =\mathrm{n}\centerdot\mathrm{a}_{\mathrm{n}} \\ $$$$\mathrm{a}_{\mathrm{2}^{\mathrm{100}} } \:=\:? \\ $$ Answered…
Question Number 199184 by Tawa11 last updated on 29/Oct/23 Commented by AST last updated on 29/Oct/23 $${x}=\mathrm{9},{y}=\mathrm{4},{z}=\mathrm{1} \\ $$ Commented by Tawa11 last updated on…
Question Number 199187 by hardmath last updated on 29/Oct/23 $$\mathrm{x}\:\mathrm{is}\:\mathrm{a}\:\mathrm{negative}\:\mathrm{real}\:\mathrm{number}: \\ $$$$\mathrm{If}\:\:\mid\mathrm{x}−\mathrm{2}\mid=\mathrm{p} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{x}−\mathrm{p}=? \\ $$ Commented by mr W last updated on 19/Nov/23 $${x}−\mathrm{2}=−{p}…
Question Number 199183 by hardmath last updated on 29/Oct/23 $$\mathrm{B},\mathrm{O},\mathrm{M}\:-\:\mathrm{Each}\:\mathrm{is}\:\mathrm{a}\:\mathrm{distinct}\:\mathrm{positive} \\ $$$$\mathrm{integer} \\ $$$$\mathrm{If}\:\:\:\mathrm{B}\:\centerdot\:\mathrm{O}\:\centerdot\:\mathrm{M}\:=\:\mathrm{223} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{max}\left(\mathrm{B}\:+\:\mathrm{O}\:+\:\mathrm{M}\right)=? \\ $$ Answered by mr W last updated on…