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Category: Algebra

Question-165142

Question Number 165142 by HongKing last updated on 26/Jan/22 Commented by mr W last updated on 26/Jan/22 $${how}\:{do}\:{they}\:{play}?\:{one}\:{game}\:{between} \\ $$$${each}\:{pair}?\:{you}\:{can}'{t}\:{solve}\:{if}\:{the} \\ $$$${rule}\:{of}\:{the}\:{tournament}\:{is}\:{not}\:{clear}. \\ $$ Commented…

what-is-the-remainder-when-111-222-333-77-is-divided-by-37-

Question Number 34044 by NECx last updated on 29/Apr/18 $${what}\:{is}\:{the}\:{remainder}\:{when}\: \\ $$$$\left(\mathrm{111}..\right)+\left(\mathrm{222}..\right)+\left(\mathrm{333}..\right)+….+\left(\mathrm{77}..\right) \\ $$$${is}\:{divided}\:{by}\:\mathrm{37} \\ $$ Commented by Rasheed.Sindhi last updated on 30/Apr/18 $$\mathrm{N}=\left(\mathrm{111}..\right)+\left(\mathrm{222}..\right)+\left(\mathrm{333}..\right)+….+\left(\mathrm{77}..\right) \\…

if-a-b-c-d-e-are-in-AP-find-the-value-of-a-4b-6c-4d-e-please-help-i-do-not-know-where-to-begin-

Question Number 99575 by MWSuSon last updated on 21/Jun/20 $$\mathrm{if}\:\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d},\mathrm{e}\:\mathrm{are}\:\mathrm{in}\:\mathrm{AP}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{value} \\ $$$$\mathrm{of}\:\mathrm{a}−\mathrm{4b}+\mathrm{6c}−\mathrm{4d}+\mathrm{e}. \\ $$$$\mathrm{please}\:\mathrm{help},\:\mathrm{i}\:\mathrm{do}\:\mathrm{not}\:\mathrm{know}\:\mathrm{where}\:\mathrm{to} \\ $$$$\mathrm{begin}. \\ $$ Answered by mathmax by abdo last updated…

Question-165098

Question Number 165098 by mnjuly1970 last updated on 26/Jan/22 Answered by Eulerian last updated on 26/Jan/22 $$\:\boldsymbol{\mathrm{Solution}}: \\ $$$$\:\mathrm{We}\:\mathrm{know}\:\mathrm{that}: \\ $$$$\:\mathrm{1}^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} +\mathrm{3}^{\mathrm{2}} +……+\mathrm{n}^{\mathrm{2}} \:=\:\frac{\mathrm{n}\left(\mathrm{n}+\mathrm{1}\right)\left(\mathrm{2n}+\mathrm{1}\right)}{\mathrm{6}}…

let-p-x-cos-2n-arccos-x-with-x-1-1-find-the-roots-of-p-x-and-factorize-p-x-

Question Number 34020 by prof Abdo imad last updated on 29/Apr/18 $${let}\:{p}\left({x}\right)={cos}\left(\mathrm{2}{n}\:{arccos}\left({x}\right)\right)\:\:{with}\:{x}\in\left[−\mathrm{1},\mathrm{1}\right] \\ $$$${find}\:{the}\:{roots}\:{of}\:{p}\left({x}\right)\:{and}\:{factorize}\:\:{p}\left({x}\right) \\ $$ Commented by math khazana by abdo last updated on…

give-the-algebric-form-of-1-i-i-

Question Number 33988 by abdo imad last updated on 28/Apr/18 $${give}\:{the}\:{algebric}\:{form}\:{of}\:\left(\mathrm{1}+{i}\right)^{{i}} . \\ $$ Answered by MJS last updated on 28/Apr/18 $$\left(\mathrm{1}+\mathrm{i}\right)^{\mathrm{i}} =\left(\sqrt{\mathrm{2}}\mathrm{e}^{\mathrm{i}\frac{\pi}{\mathrm{4}}} \right)^{\mathrm{i}} =\left(\mathrm{e}^{\frac{\mathrm{ln}\:\mathrm{2}}{\mathrm{2}}}…