Question Number 153263 by mnjuly1970 last updated on 06/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 153256 by Lekhraj last updated on 06/Sep/21 Commented by MJS_new last updated on 06/Sep/21 $${x}<{y} \\ $$$${x}=\frac{\mathrm{25}}{\mathrm{9}{t}}\wedge{y}=\frac{\mathrm{25}{t}}{\mathrm{9}} \\ $$$${t}=\sqrt{\frac{\mathrm{5}}{\mathrm{3}}}\:\Rightarrow\:\frac{{x}}{{y}}=\frac{\mathrm{3}}{\mathrm{5}} \\ $$$$\left(\mathrm{for}\:{y}<{x}\:\mathrm{we}\:\mathrm{get}\:\frac{{x}}{{y}}=\frac{\mathrm{5}}{\mathrm{3}}\right) \\ $$…
Question Number 22177 by Tinkutara last updated on 12/Oct/17 $$\frac{{C}_{\mathrm{0}} }{\mathrm{2}}\:−\:\frac{{C}_{\mathrm{1}} }{\mathrm{3}}\:+\:\frac{{C}_{\mathrm{2}} }{\mathrm{4}}\:−\:\frac{{C}_{\mathrm{3}} }{\mathrm{5}}\:+\:………. \\ $$ Answered by ajfour last updated on 12/Oct/17 $${x}\left(\mathrm{1}−{x}\right)^{{n}} ={C}_{\mathrm{0}}…
Question Number 153245 by liberty last updated on 06/Sep/21 $$\:\:\begin{cases}{{x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}} {y}=\mathrm{30}}\\{{y}^{\mathrm{3}} −\mathrm{3}{xy}^{\mathrm{2}} =\mathrm{10}}\end{cases} \\ $$$$\:\left({x},{y}\right)=? \\ $$ Answered by Rasheed.Sindhi last updated on 06/Sep/21…
Question Number 22154 by Joel577 last updated on 12/Oct/17 $$\mathrm{Given}\:{a},{b},{c}\:\mathrm{real}\:\mathrm{and}\:\mathrm{positive}\:\mathrm{numbers},\:\mathrm{and} \\ $$$${a}\:+\:{b}\:+\:{c}\:=\:\mathrm{1} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\:\frac{{a}\:+\:{b}}{{abc}} \\ $$ Answered by ajfour last updated on 12/Oct/17 $${let}\:{a}={cx}\:\:\:\:{and}\:\:{b}={cy} \\…
Question Number 153208 by mathdanisur last updated on 05/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 153209 by Tawa11 last updated on 05/Sep/21 Commented by mr W last updated on 05/Sep/21 Commented by Tawa11 last updated on 05/Sep/21 $$\mathrm{Thanks}\:\mathrm{sir}.\:\mathrm{I}\:\mathrm{appreciate}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}.…
Question Number 22133 by Tinkutara last updated on 11/Oct/17 $$\mathrm{If}\:{f}\::\:{R}^{+} \:\rightarrow\:{R}^{+} \:\mathrm{is}\:\mathrm{a}\:\mathrm{polynomial}\:\mathrm{function} \\ $$$$\mathrm{which}\:\mathrm{satisfy}\:\mathrm{the}\:\mathrm{equation}\:{f}\left({f}\left({x}\right)\right)\:+ \\ $$$${f}\left({x}\right)\:=\:\mathrm{12}{x}\:\forall\:{x}\:\in\:{R}^{+} ,\:\mathrm{then}\:\mathrm{find}\:{f}\left({x}\right). \\ $$ Commented by Rasheed.Sindhi last updated on…
Question Number 153203 by mathdanisur last updated on 05/Sep/21 Answered by Kamel last updated on 05/Sep/21 $${f}\left({x}\right)=\frac{\mathrm{1}−\sqrt{\mathrm{1}−\mathrm{2}{x}}}{\mathrm{2}},{f}_{{n}} ^{−\mathrm{1}} =\underset{…………… {n}\:{times} ………} {{f}^{−\mathrm{1}} \circ{f}^{−\mathrm{1}} \circ{f}^{−\mathrm{1}} \circ…\circ{f}^{−\mathrm{1}}…
Question Number 87656 by M±th+et£s last updated on 05/Apr/20 $$\frac{\mathrm{1}+{sin}\left(\frac{\mathrm{1}}{\mathrm{8}}\right)\pi+{i}\:{cos}\left(\frac{\mathrm{1}}{\mathrm{8}}\right)\pi}{\mathrm{1}+{sin}\left(\frac{\mathrm{1}}{\mathrm{8}}\right)\pi−{i}\:{cos}\left(\frac{\mathrm{1}}{\mathrm{8}}\right)\pi}=? \\ $$ Commented by Tony Lin last updated on 05/Apr/20 $${let}\:{sin}\frac{\pi}{\mathrm{8}}+{icos}\frac{\pi}{\mathrm{8}}={z}\:,\mid{z}\mid=\mathrm{1} \\ $$$$\frac{\mathrm{1}+{z}}{\mathrm{1}+\bar {{z}}} \\…