Category: Algebra

Question Number 168709 by Shrinava last updated on 16/Apr/22 Commented by mr W last updated on 22/Apr/22 $${what}\:{is}\:{R}\:{in}\:\rho\leqslant\frac{\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{2}}{R}? \\ $$ Commented by mr W last…

Question Number 37627 by Joel579 last updated on 16/Jun/18 $$\mathrm{Given}\:\left\{{x}\right\}\:=\:{x}\:−\:\lfloor{x}\rfloor \\ $$$$\mathrm{How}\:\mathrm{many}\:\mathrm{real}\:\mathrm{solutions}\:\mathrm{from}\:\mathrm{equation} \\ $$$$\left\{{x}\right\}\:+\:\left\{{x}^{\mathrm{2}} \right\}\:=\:\mathrm{1} \\ $$$$\mathrm{with}\:−\mathrm{10}\:\leqslant\:{x}\:\leqslant\:\mathrm{10}\:? \\ $$ Answered by ajfour last updated on…

Question Number 168686 by Shrinava last updated on 15/Apr/22 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 168672 by mathlove last updated on 15/Apr/22 $$\mathrm{2}^{{x}} ={y}^{\mathrm{2}} +\mathrm{7}\:\:\:\:\:\:\:\:\:{x},{y}\in{N} \\ $$$${x}=?\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{y}=? \\ $$ Commented by safojontoshtemirov last updated on 15/Apr/22 $${x}=\mathrm{3}\:\:\:{y}=\mathrm{1}\:\:\:\:{x}=\mathrm{7}\:\:\:\:{y}=\mathrm{11} \\…

Question Number 37568 by math khazana by abdo last updated on 15/Jun/18 $${let}\:\alpha\:{and}\:\beta\:{the}\:{roots}\:{of}\:{the}\:{equation} \\ $$$${x}^{\mathrm{2}} \:−\mathrm{2}{mx}\:−\mathrm{1}\:=\mathrm{0}\:\:{find}\:{interms}\:{of}\:{the}\:{real}\:{m} \\ $$$${A}\:=\:\alpha^{\mathrm{2}} \:+\beta^{\mathrm{2}} \\ $$$${B}\:=\alpha^{\mathrm{3}} \:+\beta^{\mathrm{3}} \\ $$$${c}\:=\alpha^{\mathrm{4}} \:+\beta^{\mathrm{4}}…