Category: Algebra

Question Number 150006 by mathdanisur last updated on 08/Aug/21 $$\mathrm{If}\:\:\mathrm{x}\:+\:\mathrm{y}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\:\:\mathrm{which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{cannot}\:\mathrm{be}\:\:\mathrm{xy}.? \\ $$ Answered by dumitrel last updated on 08/Aug/21 $${xy}={k}\Rightarrow{x}+\frac{{k}}{{x}}=\frac{\mathrm{1}}{\mathrm{2}}\Rightarrow\mathrm{2}{x}^{\mathrm{2}} −{x}+\mathrm{2}{k}=\mathrm{0}\Rightarrow\bigtriangleup\geqslant\mathrm{0}\Rightarrow \\ $$$$\mathrm{1}−\mathrm{16}{k}\geqslant\mathrm{0}\Rightarrow{k}\in\left(−\infty;\frac{\mathrm{1}}{\mathrm{16}}\right]\Rightarrow{k}\notin\left(\frac{\mathrm{1}}{\mathrm{16}};\infty\right)…

Question Number 18916 by uttam1987 last updated on 01/Aug/17 $${x}^{\mathrm{2}} −\mathrm{7}{x}+\mathrm{12}<{mod}\left({x}−\mathrm{4}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 84430 by M±th+et£s last updated on 12/Mar/20 Commented by mr W last updated on 12/Mar/20 $${f}\left(\mathrm{2}\right)=\mathrm{2}^{\mathrm{2}} =\mathrm{4} \\ $$ Commented by M±th+et£s last…

Question Number 149958 by mathdanisur last updated on 08/Aug/21 $$\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\sqrt[{\boldsymbol{\mathrm{x}}}]{\mathrm{cos}\sqrt{\mathrm{x}}}\:=\:? \\ $$ Commented by dumitrel last updated on 08/Aug/21 $${e}^{−\frac{\mathrm{1}}{\mathrm{2}}} \\ $$ Commented by…

Question Number 84404 by Wepa last updated on 12/Mar/20 $$\left(\mathrm{x}^{\mathrm{2}} −\mathrm{2}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{6}\right)…\left(\mathrm{x}^{\mathrm{2}} −\mathrm{2020}\right)=\mathrm{1} \\ $$$$\mathrm{x}=? \\ $$ Commented by TANMAY PANACEA last updated on…