Question Number 173303 by dragan91 last updated on 09/Jul/22 Answered by Frix last updated on 09/Jul/22 $$\mathrm{5}{a}^{\mathrm{6}} +\mathrm{15}{a}^{\mathrm{4}} +\mathrm{1}\geqslant\mathrm{16}{a}^{\mathrm{5}} +\mathrm{5}{a}^{\mathrm{2}} \\ $$$$\Leftrightarrow \\ $$$$\mathrm{5}{a}^{\mathrm{6}} −\mathrm{16}{a}^{\mathrm{5}}…
Question Number 173302 by AgniMath last updated on 09/Jul/22 Commented by mr W last updated on 10/Jul/22 $${nice}\:{solution}! \\ $$ Commented by dragan91 last updated…
Question Number 173298 by mnjuly1970 last updated on 09/Jul/22 $$\mathrm{Q}: \\ $$$$\:\:\:\:\:{f}\left({x}\right)=\:{e}^{\:{x}} +\:{x}\:−\mathrm{4}\:{is}\:{given} \\ $$$$\:\:\:\:\:{put}\::\:\:\:\:\:{h}\left({x}\right)=\:{ln}\left({x}−{f}^{\:−\mathrm{1}} \left({x}\right)\right) \\ $$$$\:\:\:\:\:\:{find}\::\:\:\:\:\mathrm{D}_{\:{h}\:} \:=\:\left({domain}\:{of}\:\:\:\:{h}\:\right) \\ $$$$ \\ $$$$ \\ $$$$…
Question Number 107761 by Algoritm last updated on 12/Aug/20 Commented by mr W last updated on 12/Aug/20 $${all}\:{can}\:{be}\:{correct}\:{and}\:{all}\:{can}\:{be}\:{wrong}! \\ $$ Commented by Sarah85 last updated…
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Question Number 42195 by math khazana by abdo last updated on 20/Aug/18 $${let}\:{p}\left({x}\right)={x}^{\mathrm{10}} −\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{roots}\:{of}\:{p}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{factorize}\:{i}\:{nside}\:\:{C}\left[{x}\right]\:{p}\left({x}\left\{\right.\right. \\ $$$$\left.\mathrm{3}\right)\:{factorize}\:{inside}\:{R}\left[{x}\right]\:{p}\left({x}\right)\:. \\ $$ Answered by maxmathsup…
Question Number 173254 by mr W last updated on 09/Jul/22 $${solve}\:{for}\:{x},{y},{z}\:\in{R} \\ $$$${x}+{y}+{z}=\sqrt{\mathrm{3}} \\ $$$${xy}+{yz}+{zx}=\mathrm{1} \\ $$ Commented by AgniMath last updated on 09/Jul/22 $$\mathrm{almost}\:\mathrm{similar}\:\mathrm{to}\:\mathrm{my}\:\mathrm{recent}\:\mathrm{question}…
Question Number 173250 by Shrinava last updated on 08/Jul/22 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}: \\ $$$$\int_{\mathrm{0}} ^{\:\boldsymbol{\mathrm{x}}} \:\frac{\mathrm{t}^{\mathrm{2}} }{\left(\mathrm{t}\:\centerdot\:\mathrm{sinh}\:\mathrm{t}\:−\:\mathrm{cosh}\:\mathrm{t}\right)^{\mathrm{2}} }\:\mathrm{dt}\:=\:\mathrm{0} \\ $$ Answered by Ar Brandon last updated on…
Question Number 42176 by Lakshman Kumar last updated on 19/Aug/18 $$\mathrm{81}\sqrt{} \\ $$ Commented by MrW3 last updated on 20/Aug/18 $$\sqrt{\mathrm{81}}=+\mathrm{9}\:\neq\:−\mathrm{9} \\ $$ Terms of…