Category: Algebra

Question Number 179063 by sciencestudent last updated on 24/Oct/22 $${why}\:{is}\:{not}\:{a}\:{polynomial}\:\sqrt{\mathrm{25}{x}^{\mathrm{8}} }\:\:? \\ $$ Commented by sciencestudent last updated on 24/Oct/22 $$? \\ $$ Commented by…

Question Number 47986 by behi83417@gmail.com last updated on 17/Nov/18 Commented by maxmathsup by imad last updated on 18/Nov/18 $$\left.\mathrm{2}\right)\:\left({e}\right)\:\Leftrightarrow\:\frac{\mathrm{1}−{x}^{\mathrm{8}} }{\mathrm{1}−{x}}\:=\mathrm{0}\:\:\Leftrightarrow\:{x}^{\mathrm{8}} =\mathrm{1}\:\:\:{and}\:{x}\neq\mathrm{1}\:\:\:{x}={r}\:{e}^{{i}\theta} \:\Rightarrow{r}^{\mathrm{8}} \:{e}^{{i}\mathrm{8}\theta} ={e}^{{i}\mathrm{2}{k}\pi} \:\Rightarrow…

Question Number 113510 by Lekhraj last updated on 13/Sep/20 Answered by MJS_new last updated on 13/Sep/20 $${x}^{\mathrm{3}} −{y}^{\mathrm{3}} +\mathrm{9}{xy}+\mathrm{127}=\mathrm{0} \\ $$$${x},\:{y},\:{p}\in\mathbb{Z} \\ $$$$\mathrm{let}\:{y}={x}+{p} \\ $$$$\left(\mathrm{9}−\mathrm{3}{p}\right){x}^{\mathrm{2}}…

Question Number 47966 by ajfour last updated on 17/Nov/18 $${a}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)+{b}\left({x}+{y}\right)=\:{c} \\ $$$$\:\&\:\:\:\:{x}^{\mathrm{2}} −{y}^{\mathrm{2}} \:=\:{R}^{\mathrm{2}} \\ $$$${Solve}\:{for}\:{x}\:{or}\:{y}\:. \\ $$ Commented by behi83417@gmail.com last updated…

Question Number 179025 by jlewis last updated on 23/Oct/22 $$\mathrm{2}^{\mathrm{10}{x}} −{x}^{\mathrm{5}} −\mathrm{4}=\mathrm{0} \\ $$ Commented by MJS_new last updated on 23/Oct/22 $$\mathrm{we}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate} \\ $$$${x}_{\mathrm{1}} \approx−\mathrm{1}.\mathrm{31950087530}…