Menu Close

Category: Algebra

if-a-k-gt-0-k-1-5-then-prove-that-exists-i-j-1-5-such-that-0-a-j-a-i-1-a-i-a-j-2-1-

Question Number 162995 by HongKing last updated on 02/Jan/22 $$\mathrm{if}\:\:\mathrm{a}_{\boldsymbol{\mathrm{k}}} \:>\:\mathrm{0}\:\:;\:\:\mathrm{k}\:=\:\overline {\mathrm{1},\mathrm{5}} \\ $$$$\mathrm{then}\:\mathrm{prove}\:\mathrm{that}\:\mathrm{exists}\:\:\boldsymbol{\mathrm{i}},\boldsymbol{\mathrm{j}}\in\overline {\mathrm{1},\mathrm{5}}\:\:\mathrm{such}\:\mathrm{that}: \\ $$$$\mathrm{0}\:\leqslant\:\frac{\mathrm{a}_{\boldsymbol{\mathrm{j}}} \:-\:\mathrm{a}_{\boldsymbol{\mathrm{i}}} }{\mathrm{1}\:+\:\mathrm{a}_{\boldsymbol{\mathrm{i}}} \mathrm{a}_{\boldsymbol{\mathrm{j}}} }\:\leqslant\:\sqrt{\mathrm{2}}\:-\:\mathrm{1} \\ $$ Answered by…

Find-0-2-xcot-x-log-cos-x-dx-

Question Number 162993 by HongKing last updated on 02/Jan/22 $$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:=\underset{\:\mathrm{0}} {\overset{\:\frac{\boldsymbol{\pi}}{\mathrm{2}}} {\int}}\:\mathrm{xcot}\left(\mathrm{x}\right)\mathrm{log}\left(\mathrm{cos}\left(\mathrm{x}\right)\right)\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

If-x-2-x-2-2-a-3-x-2-x-1-x-2-x-2-a-4-x-2-x-1-2-0-has-at-least-one-root-then-find-complete-set-of-values-of-a-

Question Number 31915 by rahul 19 last updated on 16/Mar/18 $$\boldsymbol{{If}}\::\: \\ $$$$\left({x}^{\mathrm{2}} +{x}+\mathrm{2}\right)^{\mathrm{2}} −\left({a}−\mathrm{3}\right)\left({x}^{\mathrm{2}} +{x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} +{x}+\mathrm{2}\right) \\ $$$$+\:\left({a}−\mathrm{4}\right)\left({x}^{\mathrm{2}} +{x}+\mathrm{1}\right)^{\mathrm{2}} =\mathrm{0}\:{has}\:{at}\:{least}\: \\ $$$${one}\:{root}\:,\:{then}\:{find}\:{complete}\:{set}\:{of}\: \\ $$$${values}\:{of}\:{a}.…

Question-97428

Question Number 97428 by bobhans last updated on 08/Jun/20 Commented by Farruxjano last updated on 08/Jun/20 $$\boldsymbol{{I}}\:\boldsymbol{{could}}\:\boldsymbol{{not}}\:\boldsymbol{{know}}\:\boldsymbol{{x}}=\mathrm{1005}\:\boldsymbol{{or}}\:\boldsymbol{{not}}\:\boldsymbol{{in}} \\ $$$$\boldsymbol{{my}}\:\boldsymbol{{solution}}\:\boldsymbol{{if}}\:\boldsymbol{{so}}\:\boldsymbol{{i}}\:\boldsymbol{{think}}\:\boldsymbol{{you}} \\ $$$$\boldsymbol{{can}}\:\boldsymbol{{easily}}\:\boldsymbol{{calculate}}\:\boldsymbol{{removing}}\: \\ $$$$\boldsymbol{{x}}\:\boldsymbol{{with}}\:\mathrm{1005},\:\boldsymbol{{sir}} \\ $$$$…