Question Number 87561 by jagoll last updated on 05/Apr/20 $$\mathrm{for}\:\mathrm{x},\mathrm{y}\:\in\mathbb{R}\:,\: \\ $$$$\mathrm{x}\:,\mathrm{y}\:>\:\mathrm{0}\:\mathrm{satisfy}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\begin{cases}{\mathrm{x}^{\mathrm{3}} \mathrm{y}−\mathrm{xy}^{\mathrm{3}} \:=\:\mathrm{24}}\\{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{10}\:}\end{cases} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{possible}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}+\mathrm{y}? \\ $$$$\left(\mathrm{a}\right)\:\mathrm{6}\:\:\:\left(\mathrm{b}\right)\:\mathrm{5}\:\:\:\left(\mathrm{c}\right)\:\mathrm{4}\:\:\:\left(\mathrm{d}\right)\:\mathrm{3}\sqrt{\mathrm{2}}\:\:\left(\mathrm{e}\right)\:\mathrm{2} \\ $$ Commented…
Question Number 153093 by naka3546 last updated on 04/Sep/21 $${Find}\:\:{the}\:\:{solution}\:\:{of}\:\:{three}\:\:{variables}\:\:{equality}\:\:{system}\:\:{x},\:{y},\:{z}\:. \\ $$$$\:\:{a}^{\mathrm{3}} \:+\:{a}^{\mathrm{2}} {x}\:+\:{ay}\:+\:{z}\:=\:\mathrm{0} \\ $$$$\:\:{b}^{\mathrm{3}} \:+\:{b}^{\mathrm{2}} {x}\:+\:{by}\:+\:{z}\:=\:\mathrm{0} \\ $$$$\:\:{c}^{\mathrm{3}} \:+\:{c}^{\mathrm{2}} {x}\:+\:{cy}\:+\:{z}\:=\:\mathrm{0} \\ $$$$ \\…
Question Number 22023 by $@ty@m last updated on 09/Oct/17 Commented by $@ty@m last updated on 09/Oct/17 $${Solve}\:{this}\:{question}\:{in}\:{least}\:{steps}. \\ $$ Commented by Tinkutara last updated on…
Question Number 87556 by M±th+et£s last updated on 05/Apr/20 Commented by jagoll last updated on 05/Apr/20 $$\mathrm{x}^{\mathrm{3}} −\mathrm{2x}^{\mathrm{2}} +\mathrm{7x}−\mathrm{1}\:=\:\mathrm{a}\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} + \\ $$$$\mathrm{b}\left(\mathrm{x}−\mathrm{3}\right)\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} +\mathrm{c}\left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{2}} \left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} +…
Question Number 22020 by Tinkutara last updated on 09/Oct/17 $$\mathrm{The}\:\mathrm{line}\:\mathrm{of}\:\mathrm{action}\:\mathrm{of}\:\mathrm{the}\:\mathrm{resultant}\:\mathrm{of} \\ $$$$\mathrm{two}\:\mathrm{like}\:\mathrm{parallel}\:\mathrm{forces}\:\mathrm{shifts}\:\mathrm{by}\:\mathrm{one} \\ $$$$\mathrm{fourth}\:\mathrm{of}\:\mathrm{the}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{the} \\ $$$$\mathrm{forces}\:\mathrm{when}\:\mathrm{the}\:\mathrm{two}\:\mathrm{forces}\:\mathrm{are} \\ $$$$\mathrm{interchanged}.\:\mathrm{The}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{the}\:\mathrm{two} \\ $$$$\mathrm{forces}\:\mathrm{is} \\ $$ Terms of Service…
Question Number 87553 by TawaTawa1 last updated on 05/Apr/20 Answered by ajfour last updated on 05/Apr/20 $${let}\:{no}.\:{of}\:{boys}\:{in}\:{A}=\mathrm{3}{k} \\ $$$$\:\:\:\:………..{girls}\:\:….\:{A}\:=\:\mathrm{2}{k} \\ $$$${let}\:\:{no}.\:{of}\:{girls}\:{in}\:{B}=\:{x} \\ $$$$\&\:\:\:{no}.\:{of}\:{boys}\:{in}\:{B}\:=\:{y} \\ $$$${no}.\:{of}\:{girls}\:{in}\:{C}\:=\:{z}…
Question Number 87550 by jagoll last updated on 05/Apr/20 $$\frac{\mathrm{1}}{\mathrm{2e}^{−\mathrm{x}} −\mathrm{1}}\:>\:\frac{\mathrm{2}}{\mathrm{e}^{−\mathrm{x}} −\mathrm{2}} \\ $$ Commented by john santu last updated on 05/Apr/20 $$\Rightarrow\frac{\mathrm{e}^{\mathrm{x}} }{\mathrm{2}−\mathrm{e}^{\mathrm{x}} }\:>\:\frac{\mathrm{2e}^{\mathrm{x}}…
Question Number 22014 by Tinkutara last updated on 09/Oct/17 $$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{solution}\left(\mathrm{s}\right)\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\mid\mathrm{log}_{{e}} \left(\mid{x}\mid\right)\mid\:+\:\mid{x}\mid\:=\:\mathrm{10}\:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 153082 by liberty last updated on 04/Sep/21 Answered by Rasheed.Sindhi last updated on 04/Sep/21 $$\frac{{L}}{{W}}=\frac{{W}}{{L}−{W}}\Rightarrow{L}^{\mathrm{2}} −{LW}={W}^{\mathrm{2}} \\ $$$$\Rightarrow\left(\frac{{L}}{{W}}\right)^{\mathrm{2}} −\frac{{L}}{{W}}−\mathrm{1}=\mathrm{0} \\ $$$$\frac{{L}}{{W}}=\frac{\mathrm{1}\pm\sqrt{\mathrm{1}−\mathrm{4}\left(−\mathrm{1}\right)}}{\mathrm{2}}=\frac{\mathrm{1}\pm\sqrt{\mathrm{5}}}{\mathrm{2}} \\ $$$${Negative}\:{value}\:{rejected}…
Question Number 87543 by Power last updated on 04/Apr/20 Terms of Service Privacy Policy Contact: info@tinkutara.com