Question Number 170099 by mathlove last updated on 16/May/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 39022 by maxmathsup by imad last updated on 01/Jul/18 $${let}\:{p}\left({x}\right)=\:\left(\mathrm{1}+{e}^{{i}\theta} {x}\right)^{{n}} \:−\left(\mathrm{1}−{e}^{{i}\theta} {x}\right)^{{n}} \:{with}\:{n}\:{integr}\:{natural} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{the}\:{roots}\:{of}\:{p}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{fctorize}\:{inside}\:{C}\left[{x}\right]\:{p}\left({x}\right) \\ $$$$\left.\mathrm{3}\right)\:{factorize}\:{inside}\:{R}\left[{x}\right]\:{p}\left({x}\right).\:\:\theta\:\in{R} \\ $$ Commented…
Question Number 170075 by Shrinava last updated on 15/May/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 170064 by mathlove last updated on 15/May/22 $$\frac{\left({a}−\mathrm{2}\right)}{\mathrm{2}}=\frac{\left({b}−\mathrm{3}\right)}{\mathrm{3}}=\frac{\left({c}−\mathrm{4}\right)}{\mathrm{4}} \\ $$$${and}\:\:\:\:{a}\centerdot{b}\centerdot{c}=\mathrm{192} \\ $$$${faind}\:\:\:{a}+{b}+{c}=? \\ $$ Answered by Rasheed.Sindhi last updated on 15/May/22 $$\frac{\left({a}−\mathrm{2}\right)}{\mathrm{2}}=\frac{\left({b}−\mathrm{3}\right)}{\mathrm{3}}=\frac{\left({c}−\mathrm{4}\right)}{\mathrm{4}} \\…
Question Number 170065 by mathlove last updated on 15/May/22 $${a}:{b}:{c}=\mathrm{5}:\mathrm{6}:\mathrm{7} \\ $$$$\mathrm{3}{a}+\mathrm{4}{b}−\mathrm{5}{c}=\mathrm{16}\:\:\:\:\:\: \\ $$$${faind}\:{volue}\:{of}\:\:\:\:{c}=? \\ $$ Answered by Rasheed.Sindhi last updated on 15/May/22 $${a}=\mathrm{5}{k},\:{b}=\mathrm{6}{k},\:{c}=\mathrm{7}{k} \\…
Question Number 104516 by Quvonchbek last updated on 22/Jul/20 Commented by mr W last updated on 22/Jul/20 $${Red}\:{length}={r}_{\mathrm{1}} \pi+{r}_{\mathrm{2}} \pi=\left({r}_{\mathrm{1}} +{r}_{\mathrm{2}} \right)\pi \\ $$$$={R}\pi={blue}\:{length} \\…
Question Number 170053 by mathlove last updated on 15/May/22 Answered by greougoury555 last updated on 15/May/22 $$\:\:\frac{\mathrm{6}{x}}{{x}−\mathrm{2}}\:−\sqrt{\frac{\mathrm{12}{x}}{{x}−\mathrm{2}}}−\mathrm{2}\:\sqrt[{\mathrm{4}}]{\frac{\mathrm{12}{x}}{{x}−\mathrm{2}}}\:\geqslant\:\mathrm{0} \\ $$$$\:{let}\:\sqrt[{\mathrm{4}}]{\frac{\mathrm{12}{x}}{{x}−\mathrm{2}}}\:=\:{u}\:;\:{u}\geqslant\mathrm{0} \\ $$$$\Rightarrow\:\frac{\mathrm{1}}{\mathrm{2}}{u}^{\mathrm{4}} −{u}^{\mathrm{2}} −\mathrm{2}{u}\:\geqslant\:\mathrm{0} \\ $$$$\Rightarrow{u}^{\mathrm{4}}…
Question Number 104517 by Quvonchbek last updated on 22/Jul/20 Answered by 1549442205PVT last updated on 22/Jul/20 $$\mathrm{It}\:\mathrm{is}\:\mathrm{easy}\:\mathrm{to}\:\mathrm{see}\:\mathrm{that}\:\mathrm{the}\:\mathrm{sequence}\:\mathrm{of}\:\mathrm{numbers}: \\ $$$$\mathrm{11},\mathrm{19},\mathrm{29},\mathrm{41},…\mathrm{has}\:\mathrm{general}\:\mathrm{term}\:\mathrm{is} \\ $$$$\mathrm{n}^{\mathrm{2}} +\mathrm{3n}+\mathrm{1}\left(\mathrm{n}\in\mathbb{N}^{\ast} \right).\mathrm{Hence}, \\ $$$$\mathrm{S}=\underset{\mathrm{n}=\mathrm{1}}…
Question Number 38933 by MrW3 last updated on 01/Jul/18 $$\left[{Refreshing}\:{an}\:{old}\:{question}\right] \\ $$$${Find}\:{the}\:{smallest}\:{number}\:{which}\:{is} \\ $$$${a}\:{multiple}\:{of}\:\mathrm{75}\:{and}\:{has}\:\mathrm{75}\:{divisors}. \\ $$ Commented by math1967 last updated on 01/Jul/18 $$\mathrm{75}=\mathrm{3}×\mathrm{5}^{\mathrm{2}} \:\therefore{factor}\:{of}\:\mathrm{75}…
Question Number 170006 by Shrinava last updated on 13/May/22 Terms of Service Privacy Policy Contact: info@tinkutara.com