Question Number 97485 by Farruxjano last updated on 08/Jun/20 Commented by prakash jain last updated on 09/Jun/20 $$\mathrm{E}^{\mathrm{2}} = \\ $$$${x}^{\mathrm{3}} {y}+{y}^{\mathrm{3}} {z}+{z}^{\mathrm{3}} {x}+{xy}^{\mathrm{3}} +{yz}^{\mathrm{3}}…
Question Number 163000 by tounghoungko last updated on 03/Jan/22 Answered by Rasheed.Sindhi last updated on 03/Jan/22 $${y}={f}\left({x}\right)=\mathrm{2}{x}^{\mathrm{3}} −{x}^{\mathrm{2}} −\mathrm{3}{x} \\ $$$${zeroes}\:{of}\:{f}\left({x}\right) \\ $$$$\mathrm{2}{x}^{\mathrm{3}} −{x}^{\mathrm{2}} −\mathrm{3}{x}=\mathrm{0}…
Question Number 31927 by rahul 19 last updated on 16/Mar/18 $${The}\:{number}\:{of}\:{distinct}\:{real}\:{roots} \\ $$$${of}\:{equation}\:\boldsymbol{{x}}^{\mathrm{4}} −\mathrm{4}\boldsymbol{{x}}^{\mathrm{3}} +\mathrm{12}\boldsymbol{{x}}^{\mathrm{2}} +\boldsymbol{{x}}−\mathrm{1}=\mathrm{0}. \\ $$ Answered by MJS last updated on 16/Mar/18…
Question Number 162999 by tounghoungko last updated on 03/Jan/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
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…
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
Question Number 162994 by HongKing last updated on 02/Jan/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
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}.…
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Question Number 31895 by Tinkutara last updated on 16/Mar/18 Commented by Tinkutara last updated on 16/Mar/18 Thank you very much Sir for checking! Commented by Tinkutara last updated on 16/Mar/18 Answer is 4⃣ but I got 461. Wrong options then?…