Question Number 80209 by peter frank last updated on 01/Feb/20 Commented by mathmax by abdo last updated on 01/Feb/20 $${z}+\frac{\mathrm{1}}{{z}}\:=−\mathrm{1}\:\Rightarrow{z}^{\mathrm{2}} \:+\mathrm{1}=−{z}\:\Rightarrow{z}^{\mathrm{2}} \:+{z}+\mathrm{1}=\mathrm{0} \\ $$$$\Delta=\mathrm{1}−\mathrm{4}=−\mathrm{3}\:\Rightarrow{z}_{\mathrm{1}} =\frac{−\mathrm{1}+{i}\sqrt{\mathrm{3}}}{\mathrm{2}}={e}^{\frac{{i}\mathrm{2}\pi}{\mathrm{3}}}…
Question Number 80208 by peter frank last updated on 01/Feb/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 80204 by jagoll last updated on 01/Feb/20 Commented by Tony Lin last updated on 01/Feb/20 $$\mathrm{28}\left({x}+{y}+{z}\right)=\mathrm{363}+\left({x}−{z}\right) \\ $$$${if}\:{x}+{y}+{z}\geqslant\mathrm{14} \\ $$$${x}−{z}\geqslant\mathrm{29}>{x}+{y}+{z}\left({false}\right) \\ $$$${if}\:{x}+{y}+{z}=\mathrm{13} \\…
Question Number 80199 by peter frank last updated on 31/Jan/20 Commented by mr W last updated on 08/Feb/20 $${all}\:{are}\:{clear}\:{if}\:{you}\:{have}\:{a}\:{look}\:{at} \\ $$$${the}\:{graph}\:{of}\:{the}\:{functions}. \\ $$ Answered by…
Question Number 145721 by mathdanisur last updated on 07/Jul/21 $${if}\:\:{a};{b}\in\mathbb{N}\:\:;\:\:{a}\neq{b}\:\:{and}\:\:{a}+{b}=\mathrm{2}{x} \\ $$$${find}\:\:\left({a}\centerdot{b}\right)_{\boldsymbol{{m}}{ax}} =? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 80178 by Power last updated on 31/Jan/20 Commented by mr W last updated on 31/Jan/20 $${no}\:{exact}\:{value}\:{possible}! \\ $$$${x}^{\mathrm{25}} \underset{{k}=\mathrm{1}} {\overset{\mathrm{25}} {\prod}}\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{3}^{{k}} }\right)=\mathrm{1} \\…
Question Number 145718 by mathdanisur last updated on 07/Jul/21 $${F}_{\mathrm{1}} \:=\:\mathrm{3}\:{N}\:\:;\:\:{F}_{\mathrm{2}} \:=\:\mathrm{4}\:{N}\:\:;\:{F}_{\mathrm{3}} \:=\:\mathrm{6}\:{N} \\ $$$${F}_{\boldsymbol{{max}}} \:\:-\:\:{F}_{\boldsymbol{{min}}} =\:? \\ $$ Commented by mathdanisur last updated on…
Question Number 80160 by peter frank last updated on 31/Jan/20 $$\int_{\mathrm{0}} ^{\infty} \frac{{x}^{\mathrm{3}} }{{e}^{\mathrm{2}{x}} −{e}^{{x}} } \\ $$ Commented by mathmax by abdo last updated…
Question Number 80161 by peter frank last updated on 01/Feb/20 $${Find}\:{the}\:{relation}\:{between} \\ $$$${q}\:{and}\:{r}\:\:{so}\:\:{that} \\ $$$${x}^{\mathrm{3}} +\mathrm{3}{px}^{\mathrm{2}} +{qx}+{r}\:{is}\:{a}\:{perfect} \\ $$$${cube}\:{for}\:{all}\:\:{value}\:{of}\:{x} \\ $$ Commented by peter frank…
Question Number 145687 by mathdanisur last updated on 07/Jul/21 $${if}\:\:{q}\geqslant\mathrm{3}\:;\:{a}>-\mathrm{1}\:\:{then}: \\ $$$$\left(\mathrm{1}+{a}\right)^{\boldsymbol{{q}}} \:\geqslant\:\left(\mathrm{1}+\mathrm{2}{a}\right)\left(\mathrm{1}+{a}\right)^{\boldsymbol{{q}}-\mathrm{2}} \:\geqslant\:\mathrm{1}+{qa} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com