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Category: Algebra

k-1-2011-1-k-k-1-k-2-

Question Number 93340 by john santu last updated on 12/May/20 $$\underset{\mathrm{k}\:=\:\mathrm{1}} {\overset{\mathrm{2011}} {\sum}}\:\frac{\mathrm{1}}{\mathrm{k}\left(\mathrm{k}+\mathrm{1}\right)\left(\mathrm{k}+\mathrm{2}\right)}\:? \\ $$ Commented by mathmax by abdo last updated on 12/May/20 $${let}\:{A}_{{n}}…

Question-158843

Question Number 158843 by mnjuly1970 last updated on 09/Nov/21 Commented by mr W last updated on 09/Nov/21 $$\left(\mathrm{1}\right) \\ $$$${not}\:{true}! \\ $$$${example}:\:{x}=\mathrm{4},\:{y}=\mathrm{6} \\ $$$$\mathrm{6}{x}+\mathrm{11}{y}=\mathrm{24}+\mathrm{66}=\mathrm{90}\:\equiv\mathrm{0}\:{mod}\left(\mathrm{30}\right) \\…

4-2a-b-2-a-b-2-

Question Number 27761 by shiv15031973@gmail.com last updated on 14/Jan/18 $$\mathrm{4}\left(\mathrm{2a}+\mathrm{b}\right)^{\mathrm{2}} −\left(\mathrm{a}−\mathrm{b}\right)^{\mathrm{2}} \\ $$ Answered by Rasheed.Sindhi last updated on 14/Jan/18 $$\:\:\:\mathrm{4}\left(\mathrm{2a}+\mathrm{b}\right)^{\mathrm{2}} −\left(\mathrm{a}−\mathrm{b}\right)^{\mathrm{2}} \\ $$$$=\mathrm{4}\left(\mathrm{4a}^{\mathrm{2}} +\mathrm{4ab}+\mathrm{b}^{\mathrm{2}}…

Prove-that-2017-2017-and-2017-2018-can-be-written-as-the-sum-of-two-perfect-squares-

Question Number 158816 by HongKing last updated on 09/Nov/21 $$\mathrm{Prove}\:\mathrm{that}\:\:\mathrm{2017}^{\mathrm{2017}} \:\:\mathrm{and}\:\:\:\mathrm{2017}^{\mathrm{2018}} \\ $$$$\mathrm{can}\:\mathrm{be}\:\mathrm{written}\:\mathrm{as}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{two} \\ $$$$\mathrm{perfect}\:\mathrm{squares}. \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact:…

Find-all-value-gt-0-such-that-0-dx-x-2021-ln-1-x-dx-lt-

Question Number 158813 by HongKing last updated on 09/Nov/21 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{value}\:\:\boldsymbol{\beta}>\mathrm{0}\:\:\mathrm{such}\:\mathrm{that}: \\ $$$$\underset{\:\mathrm{0}} {\overset{\:+\infty} {\int}}\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{2021}\boldsymbol{\beta}} \:+\:\mathrm{ln}\centerdot\left(\mathrm{1}\:+\:\beta\mathrm{x}\right)}\:\mathrm{dx}\:<\:+\infty \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com