Question Number 45936 by Meritguide1234 last updated on 19/Oct/18 Commented by MJS last updated on 19/Oct/18 $$\mathrm{2}.\mathrm{115410982027}… \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 176995 by blackmamba last updated on 29/Sep/22 $$\:\:{x}^{\mathrm{3}} −\frac{\mathrm{3}}{\mathrm{4}}{x}+\frac{\mathrm{1}}{\mathrm{8}}=\mathrm{0} \\ $$$$\:{x}=? \\ $$ Answered by mr W last updated on 29/Sep/22 $$\Delta=\left(\frac{\mathrm{1}}{\mathrm{16}}\right)^{\mathrm{2}} +\left(−\frac{\mathrm{1}}{\mathrm{4}}\right)^{\mathrm{3}}…
Question Number 176988 by cortano1 last updated on 29/Sep/22 $$\:\begin{cases}{{a}^{\mathrm{3}} =\mathrm{3}{ab}^{\mathrm{2}} +\mathrm{11}}\\{{b}^{\mathrm{3}} =\mathrm{3}{a}^{\mathrm{2}} {b}+\mathrm{2}}\end{cases}\:;\:{a},{b}\:\in\mathrm{R} \\ $$$$\Rightarrow{a}^{\mathrm{2}} +{b}^{\mathrm{2}} =? \\ $$ Commented by mr W last…
Question Number 45905 by peter frank last updated on 18/Oct/18 Answered by math1967 last updated on 18/Oct/18 $${let}\:{no}\:{of}\:{boys}={x}\:{and}\:{no}\:{of}\:{girls}={y} \\ $$$$\therefore\frac{\mathrm{50}{x}+\mathrm{54}{y}}{{x}+{y}}=\mathrm{52} \\ $$$$\mathrm{50}{x}+\mathrm{54}{y}=\mathrm{52}{x}+\mathrm{52}{y} \\ $$$$\mathrm{2}{x}=\mathrm{2}{y}\Rightarrow\frac{{x}}{{y}}=\frac{\mathrm{1}}{\mathrm{1}} \\…
Question Number 176968 by Tolmasbek last updated on 28/Sep/22 $$ \\ $$$$\:\:\:{f}\left({x}\right)+\mathrm{3}{f}\left(\frac{\mathrm{1}}{{x}}\right)=\frac{\mathrm{1}}{{x}}\:\:\:\:\:\:\:\:\:\:\:\:\:{f}\left({x}\right)=?\:\:\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 176948 by mathlove last updated on 28/Sep/22 Commented by mr W last updated on 28/Sep/22 $${what}\:{do}\:{mean}\:{with}\:\mathrm{9}!!!!\:{and}\:\mathrm{8}!!!!!? \\ $$$${can}\:{you}\:{tell}\:{a}\:{source}\:{where}\:{those} \\ $$$${notations}\:{are}\:{commonly}\:{defined}? \\ $$ Commented…
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Question Number 176898 by adhigenz last updated on 27/Sep/22 Answered by Rasheed.Sindhi last updated on 27/Sep/22 $$\alpha+\beta=−{m}\:,\:\alpha\beta={n} \\ $$$$\alpha^{\mathrm{3}} +\beta^{\mathrm{3}} =\left(\alpha+\beta\right)\left(\:\left(\alpha+\beta\right)^{\mathrm{2}} −\mathrm{3}\alpha\beta\:\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:=−{m}\left(\:\left(−{m}\right)^{\mathrm{2}} −\mathrm{3}\left({n}\right)\:\right)…
Question Number 176893 by infinityaction last updated on 27/Sep/22 $$\:\:\:\:\left[\mathrm{4}\left({x}^{\mathrm{2}} +\mathrm{2}\right)\:+\frac{\mathrm{9}}{\left({x}^{\mathrm{2}} +\mathrm{2}\right)}\right]_{\mathrm{min}} \\ $$ Answered by mr W last updated on 27/Sep/22 $${t}={x}^{\mathrm{2}} +\mathrm{2}\geqslant\mathrm{2} \\…
Question Number 176894 by infinityaction last updated on 27/Sep/22 Answered by BaliramKumar last updated on 27/Sep/22 $$\Rightarrow\:\frac{\left(\frac{\mathrm{28}×\mathrm{29}×\mathrm{30}×\mathrm{31}×……..×\mathrm{76}}{\mathrm{49}!}\right)}{\left(\frac{\mathrm{50}×\mathrm{51}×\mathrm{52}×\mathrm{53}×………×\mathrm{76}}{\mathrm{27}!}\right)} \\ $$$$\Rightarrow\:\frac{\mathrm{27}!\left(\mathrm{28}×\mathrm{29}×\mathrm{30}×\mathrm{31}×……..×\mathrm{76}\right)}{\mathrm{49}!\left(\mathrm{50}×\mathrm{51}×\mathrm{52}×\mathrm{53}×…….×\mathrm{76}\right)}\: \\ $$$$\Rightarrow\: \\ $$$$\Rightarrow\:\frac{\mathrm{76}!}{\mathrm{76}!}\:=\:\begin{array}{|c|}{\mathrm{1}}\\\hline\end{array} \\ $$…