Question Number 183236 by a.lgnaoui last updated on 23/Dec/22 $${dererminer}\:\:{la}\:{valeur}\:{x}? \\ $$ Commented by a.lgnaoui last updated on 23/Dec/22 Commented by mr W last updated…
Question Number 117641 by bemath last updated on 13/Oct/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\:\sqrt{\mathrm{6}−\mathrm{x}}\:>\:\mathrm{x}−\mathrm{4} \\ $$ Answered by Don08q last updated on 13/Oct/20 $$\left(\mathrm{6}−{x}\right)\:>\:\left({x}−\mathrm{4}\right)^{\mathrm{2}} \:{or}\:\left(\mathrm{6}−{x}\right)\:<\:\left({x}−\mathrm{4}\right)^{\mathrm{2}} \\ $$$$\:\:\:\:\:\:{when}\:\:\mathrm{6}\:−\:{x}\:>\:{x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{16} \\…
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Question Number 51649 by byaw last updated on 29/Dec/18 $$\mathrm{It}\:\mathrm{takes}\:\mathrm{man}\:\mathrm{A}\:\mathrm{6}\:\mathrm{days}\:\mathrm{to}\:\mathrm{a}\:\mathrm{piece}\:\mathrm{of} \\ $$$$\mathrm{work}.\:\mathrm{It}\:\mathrm{takes}\:\mathrm{man}\:\mathrm{B}\:\mathrm{4}\:\mathrm{days}\:\mathrm{to}\:\mathrm{do}\: \\ $$$$\mathrm{the}\:\mathrm{same}\:\mathrm{piece}\:\mathrm{of}\:\mathrm{work}.\:\mathrm{How}\:\mathrm{many} \\ $$$$\mathrm{days}\:\mathrm{will}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{take}\:\mathrm{to}\:\mathrm{do}\:\mathrm{the} \\ $$$$\mathrm{same}\:\mathrm{piece}\:\mathrm{of}\:\mathrm{work}? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated…
Question Number 117116 by mathocean1 last updated on 10/Oct/20 $${x}\:,\:{y}\:,{z}\:,\:{t}\:\in\:\mathbb{Z}. \\ $$$${x}\:{and}\:{y}\:{are}\:{x}\:{are}\:{respectively}\:{the} \\ $$$${divisor}\:{of}\:{y}\:{and}\:{t}. \\ $$$${Justify}\:{the}\:{existence}\:{of}\:{k}\:\in\:\mathbb{Z}\:{such} \\ $$$${that}\:{yt}={xzk}. \\ $$$${Deduct}\:{that}\:{x}^{{m}\:} {is}\:{a}\:{divisor}\:{of}\:{y}^{{m}} \\ $$$${where}\:{m}\:\in\:\mathbb{N}. \\ $$…
Question Number 117007 by TANMAY PANACEA last updated on 08/Oct/20 $${find}\:{unit}\:{digit}\:{of} \\ $$$$\mathrm{1}!+\mathrm{2}!+\mathrm{3}!+\mathrm{4}!+\mathrm{5}!+….+\mathrm{100}! \\ $$ Answered by mindispower last updated on 08/Oct/20 $${if}\:{n}\geqslant\mathrm{5}\:{n}!=\mathrm{0}\left(\mathrm{10}\right) \\ $$$$\mathrm{1}+\mathrm{2}!+\mathrm{3}!+\mathrm{4}!=\mathrm{24}+\mathrm{6}+\mathrm{4}+\mathrm{1}=\mathrm{35}…
Question Number 116611 by gaminghanzo12 last updated on 05/Oct/20 Commented by Dwaipayan Shikari last updated on 05/Oct/20 $$\mathrm{Q}\:\mathrm{116516} \\ $$ Answered by TANMAY PANACEA last…
Question Number 51028 by gunawan last updated on 23/Dec/18 $${f}\left({z}\right)=\sqrt{{r}}\:{e}^{{i}\frac{\theta}{\mathrm{2}}} \\ $$$${f}'\left({z}\right)=…? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 23/Dec/18 $${df}=\left(\frac{\partial{f}}{\partial{r}}\right)_{\theta} {dr}+\left(\frac{\partial{f}}{\partial\theta}\right)_{{r}} {d}\theta \\…
Question Number 50970 by peter frank last updated on 22/Dec/18 $${Given}\:\mathrm{3}−\mathrm{2}{i}\:{and}\:\mathrm{1}+{i} \\ $$$${are}\:{the}\:{two}\:{of}\:{roots}\:{of} \\ $$$${the}\:{equation} \\ $$$${ax}^{\mathrm{4}} +{bx}^{\mathrm{3}} +{cx}^{\mathrm{3}} +{dx}+{e} \\ $$$${find}\:{the}\:{values}\:{of} \\ $$$${a},{b},{c},{d}\:{and}\:{e} \\…
Question Number 50890 by peter frank last updated on 21/Dec/18 $${Determine}\:{whether} \\ $$$${the}\:{following}\:\:{is}\:{true}\:{for}\:{all} \\ $$$${value}\:{of}\:{x} \\ $$$$\mathrm{0}\leqslant\frac{\left({x}+\mathrm{1}\right)^{\mathrm{2}} }{{x}^{\mathrm{2}} +{x}+\mathrm{1}}\leqslant\frac{\mathrm{4}}{\mathrm{3}} \\ $$ Answered by MJS last…