Category: Algebra

Question Number 84820 by Power last updated on 16/Mar/20 Answered by MJS last updated on 16/Mar/20 $$\mathrm{super}\mathrm{easy}$$$$\sqrt{2x-5}=t\iff x=\frac{1}{2}{t}^2+\frac{5}{2}\wedge t⩾0$$$$\sqrt{\frac{\mathrm{1}}{\mathrm{2}}{t}^{\mathrm{2}} +\frac{\mathrm{5}}{\mathrm{2}}−\mathrm{2}+{t}}+\sqrt{\frac{\mathrm{1}}{\mathrm{2}}{t}^{\mathrm{2}} +\frac{\mathrm{5}}{\mathrm{2}}+\mathrm{2}+\mathrm{3}{t}}=\mathrm{7}\sqrt{\mathrm{2}} \…

Question Number 150346 by mathdanisur last updated on 11/Aug/21 $$\mathrm{If}\mathbf{x};\mathbf{y}\mathrm{and}\mathbf{z}\mathrm{are}\mathrm{positive}\mathrm{integers},\mathrm{then}$$$$\mathrm{determine}\mathrm{the}\mathrm{smallest}\mathrm{positive}\mathrm{integer}$$$$\mathbf{N}=\mathrm{x}+\mathrm{y}+\mathrm{z}+\mathrm{xy}+\mathrm{yz}+\mathrm{zx},\mathrm{which}\mathrm{is}$$$$\mathrm{bigger}\mathrm{than}2022.$$ Commented by Rasheed.Sindhi last updated on 12/Aug/21…

Question Number 150332 by eman_64 last updated on 11/Aug/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 150331 by ajfour last updated on 11/Aug/21 $$ultimatelyQ.149894boils$$$$downtofinding{s}_{max},s_{min}\mathrm{\forall }$$$${\{h-s\cos (\theta -\frac{\pi }{6})\}}^2$$$$+{\{k-s\sin (\theta +\frac{\pi }{6})\}}^2=r^2$$$$$$ Terms of…

Question Number 19250 by Tinkutara last updated on 07/Aug/17 $$\mathrm{Why}\arg \left(z\right)+\arg \left(\overline{z}\right)=2k\pi ,k\in Z?$$$${\mathrm{Shouldn}}^{\prime }\mathrm{t}\mathrm{it}\mathrm{be}\mathbf{always}0?$$ Commented by ajfour last updated on 07/Aug/17 $$\mathrm{yes},\mathrm{so}\mathrm{do}\mathrm{i}\mathrm{think}.$$$$\mathrm{but}\:\mathrm{if}\:{z}=−\mathrm{1}\:?!…