Question Number 194086 by mathlove last updated on 27/Jun/23 $${f}\left({x}\right)=\mathrm{2}{y}^{\mathrm{2}} +\mathrm{4}{y}+\mathrm{3}\:\:{then}\:{a}_{\mathrm{0}\:} {equle}\:{to} \\ $$$$\left.{a}\left.\right)\:\:\:{p}\left(\mathrm{5}\right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{b}\right)\:\:\:\:\mathrm{7} \\ $$$$\left.{c}\left.\right)\:\:\:\:\:\:\mathrm{3}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{d}\right)\:{not}\:{defined} \\ $$ Commented by Frix last updated on 27/Jun/23…
Question Number 194037 by Subhi last updated on 26/Jun/23 $$ \\ $$$${Let}\:{a}_{\mathrm{1}} ,{a}_{\mathrm{2}} ….{a}_{{n}} \in{R}^{+} ,\:{a}_{\mathrm{1}} +{a}_{\mathrm{2}} +…..{a}_{{n}} =\mathrm{1} \\ $$$${prove}\:{that}: \\ $$$$\frac{{a}_{\mathrm{1}} }{\mathrm{2}−{a}_{\mathrm{1}} }+\frac{{a}_{\mathrm{2}}…
Question Number 194057 by Subhi last updated on 26/Jun/23 $${find}\:{all}\:{functions}\:{such}\:{that} \\ $$$${f}\left({x}\right){f}\left({y}\right)\:=\:{x}^{{a}} {f}\left(\frac{{y}}{\mathrm{2}}\right)+{y}^{{b}} {f}\left(\frac{{x}}{\mathrm{2}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 193978 by Rupesh123 last updated on 25/Jun/23 Answered by talminator2856792 last updated on 25/Jun/23 $$\:\:\mathrm{d}.\:\: \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 194000 by sts313 last updated on 25/Jun/23 $$\left\{\mathrm{4}\right)\mathrm{345}\: \\ $$ Answered by sts313 last updated on 25/Jun/23 $$\mathrm{FAILED}\:\mathrm{TO}\:\mathrm{CALCULATE} \\ $$$${ccv}\mathrm{64}{vnn}^{{bbnj}\frac{{b}\mathrm{6}}{{b}\mathrm{6}}} \mathrm{sech}\: \\ $$…
Question Number 193965 by Subhi last updated on 24/Jun/23 $${a},{b},{c}\:{are}\:{positive}\:{real}\:{numbers} \\ $$$${And} \\ $$$$\frac{\mathrm{1}}{{a}+{b}+\mathrm{1}}+\frac{\mathrm{1}}{{b}+{c}+\mathrm{1}}+\frac{\mathrm{1}}{{a}+{c}+\mathrm{1}}\geqslant\mathrm{1} \\ $$$${prove}\:{that}\:{a}+{b}+{c}\geqslant{ab}+{bc}+{ac} \\ $$ Answered by Subhi last updated on 26/Jun/23…
Question Number 193962 by Abdullahrussell last updated on 24/Jun/23 Answered by AST last updated on 24/Jun/23 $$\Rightarrow{f}\left({x}\right)={Q}\left({x}\right)\left({x}−{a}\right)\left({x}−{b}\right)+{R}\Rightarrow{f}\left({a}\right)={R},{f}\left({b}\right)={R} \\ $$$$\Rightarrow\frac{{f}\left({a}\right)\left({x}−{b}\right)−{f}\left({b}\right)\left({x}−{a}\right)}{{a}−{b}}=\frac{{R}\left({x}−{b}−{x}+{a}\right)}{{a}−{b}}={R} \\ $$ Answered by cortano12 last…
Question Number 193972 by Rupesh123 last updated on 24/Jun/23 Commented by Frix last updated on 25/Jun/23 $$\mathrm{Ok}\:\mathrm{I}\:\mathrm{thought}\:\mathrm{about}\:\mathrm{it}.\:\mathrm{What}\:\mathrm{now}? \\ $$ Commented by Rupesh123 last updated on…
Question Number 193886 by Rupesh123 last updated on 22/Jun/23 Answered by MM42 last updated on 22/Jun/23 $${a}=\mathrm{521}\left(\mathrm{521}^{{n}} −\mathrm{521}^{{n}−\mathrm{1}} +\mathrm{1}\right)=\mathrm{521}{m} \\ $$$$“\mathrm{521}''\:{is}\:{prime}\:{number}.{therefore}\:“{m}'' \\ $$$$\:{must}\:{be}\:{a}\:{multiple}\:“\mathrm{521}''. \\ $$$${which}\:{is}\:{valid}\:{only}\:{for}\:\:“{n}=\mathrm{1}''…
Question Number 193875 by Subhi last updated on 22/Jun/23 $${a},{b},{c},{d},{e},{f},\:{are}\:+\:{real}\:{numbers} \\ $$$${prove}: \\ $$$$\frac{{a}}{{b}+{c}}+\frac{{b}}{{c}+{d}}+\frac{{c}}{{d}+{e}}+\frac{{d}}{{e}+{f}}+\frac{{e}}{{f}+{a}}+\frac{{f}}{{a}+{b}}\geqslant\mathrm{3} \\ $$ Answered by AST last updated on 23/Jun/23 $$=\underset{{cyc}} {\sum}\frac{{a}^{\mathrm{2}}…