Question Number 34614 by math khazana by abdo last updated on 09/May/18 $${decompose}\:{inside}\:{R}\left({x}\right)\:{the}\:{fraction} \\ $$$${F}\left({x}\right)=\:\frac{\mathrm{1}}{\left({x}−\mathrm{3}\right)^{\mathrm{6}} \left({x}+\mathrm{2}\right)}\:. \\ $$ Commented by math khazana by abdo last…
Question Number 34606 by abdo mathsup 649 cc last updated on 08/May/18 $${let}\:{give}\:{p}\left({x}\right)=\left({x}+\mathrm{1}\right)^{{n}} \:−\left({x}−\mathrm{1}\right)^{{n}} \\ $$$$\left.\mathrm{1}\right)\:{factorize}\:{p}\left({x}\right)\:{inside}\:{C}\left[{x}\right] \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\prod_{{k}=\mathrm{1}} ^{{p}} \:\:{cotan}\left(\frac{{k}\pi}{\mathrm{2}{p}+\mathrm{1}}\right) \\ $$ Terms of Service…
Question Number 34607 by abdo mathsup 649 cc last updated on 08/May/18 $${let}\:{p}\in{C}\left[{x}\right]\:{degp}={n}\:\:\:\left({x}_{{i}} \right)_{\mathrm{1}\leqslant{k}\leqslant{n}} {the}\:{roots}\:{of}\:{p}\left({x}\right) \\ $$$${a}\in{C}?/{p}\left({a}\right)\neq\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{S}_{\mathrm{1}} =\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{x}_{{k}} −{a}}\:{interms}\:{of}\:{p},{p}^{'} \:{and}\:{a} \\…
Question Number 34604 by abdo mathsup 649 cc last updated on 08/May/18 $${let}\:\:{p}\left({x}\right)=\:{x}^{{n}} \:+{x}+\mathrm{1}\:\in{C}\left[{x}\right]\:{and}\:{z}\in{C}/{p}\left({z}\right)=\mathrm{0} \\ $$$${prove}\:{that}\:\mid{z}\mid<\mathrm{2}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34603 by abdo mathsup 649 cc last updated on 08/May/18 $${prove}\:{that}\:\forall\:{p}\in{K}\left[{x}\right]\:{p}\left({x}\right)\:−{x}\:{divide}\:{p}\left({p}\left({x}\right)\right)−{x} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34602 by abdo mathsup 649 cc last updated on 08/May/18 $${simplify}\:\sum_{{k}=\mathrm{0}} ^{{n}} \left(\frac{{k}}{{n}}\:−\alpha\right)^{\mathrm{2}} {C}_{{n}} ^{{k}} \:{x}^{{k}} \left(\mathrm{1}−{x}\right)^{{n}−{k}\:} \\ $$$$\alpha\in{C}. \\ $$ Terms of…
Question Number 34595 by abdo mathsup 649 cc last updated on 08/May/18 $${simplify}\:\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{\left(−\mathrm{1}\right)^{{k}−\mathrm{1}} }{{k}}\:{C}_{{n}} ^{{k}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 165653 by mathlove last updated on 06/Feb/22 Commented by mr W last updated on 06/Feb/22 $${i}\:{thought}\:{all}\:{the}\:{time}\:{you}\:{guys}\:{are} \\ $$$${all}\:{no}\:{primary}\:{school}\:{pupils}\:{more}… \\ $$ Commented by mr…
Question Number 165639 by mathls last updated on 05/Feb/22 Commented by mathls last updated on 05/Feb/22 $$? \\ $$ Answered by aleks041103 last updated on…
Question Number 165620 by mathlove last updated on 05/Feb/22 $${solve} \\ $$$${z}^{\mathrm{7}} =−\mathrm{4} \\ $$ Answered by aleks041103 last updated on 05/Feb/22 $${z}^{\mathrm{7}} =−\mathrm{4}=\mathrm{4}{e}^{\left(\mathrm{2}{k}+\mathrm{1}\right){i}\pi} \\…