Category: Algebra

Question Number 36911 by prof Abdo imad last updated on 07/Jun/18 $${p}\:{is}\:{a}\:{polynome}\:{having}\:{nroots}\:{simples} \\ $$$${x}_{{i}} \:\left(\mathrm{1}\leqslant{x}_{{i}} \leqslant{n}\:\right)\:{with}\:{x}_{{i}} ^{\mathrm{2}} \:\neq\mathrm{1}\:\:{calculste} \\ $$$$\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{\mathrm{1}}{\mathrm{1}−{x}_{{k}} }\:. \\ $$…

Question Number 36905 by prof Abdo imad last updated on 07/Jun/18 $${p}\:{is}\:{apolynom}\:{with}\:{n}\:{roots}\:{differents} \\ $$$${let}\:{Q}\:=\:{p}^{\mathrm{2}} \:+{p}^{'} \:\:\:\:{let}\:\alpha\:{the}\:{number}\:{of}\:{roots}\:{of} \\ $$$${Q}\:{prove}\:{that}\:\:\:{n}−\mathrm{1}\leqslant\alpha\leqslant{n}+\mathrm{1}\:. \\ $$ Terms of Service Privacy Policy…

Question Number 36904 by prof Abdo imad last updated on 07/Jun/18 $$\left.\mathrm{1}\right){decompose}\:{inside}\:{C}\left[{x}\right] \\ $$$${p}\left({x}\right)={x}^{\mathrm{2}{n}} \:−\mathrm{2}\left({cos}\alpha\right){x}^{{n}} \:+\mathrm{1} \\ $$$$\left.\mathrm{2}\right)\:{decopose}\:{p}\left({x}\right){inside}\:{R}\left[{x}\right] \\ $$ Commented by math khazana by…

Question Number 102418 by Akeyz last updated on 09/Jul/20 Answered by Rasheed.Sindhi last updated on 09/Jul/20 $$\:^{\bigstar\mathrm{1}:} {x},{y}\in\mathbb{W}\left(=\left\{\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3},…\right\}\right) \\ $$$$\mathrm{2}^{{x}} +\mathrm{3}^{{y}} \in\mathbb{E}\Rightarrow\mathrm{2}^{{x}} ,\mathrm{3}^{{y}} \in\mathbb{E}\:\vee\:\mathrm{2}^{{x}} ,\mathrm{3}^{{y}}…

Question Number 167942 by Giantyusuf last updated on 30/Mar/22 $$\left({x}−\mathrm{1}\right)\left({x}+\mathrm{4}\right)\left({x}−\mathrm{2}\right)^{\mathrm{2}} =\mathrm{10}{x}^{\mathrm{2}} \\ $$$${x}=??? \\ $$ Answered by MJS_new last updated on 30/Mar/22 $$\mathrm{you}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate}!!! \\ $$…