Category: Algebra

Question Number 86541 by peter frank last updated on 29/Mar/20 Commented by jagoll last updated on 29/Mar/20 $${\mathrm{Q}}^2=\mathrm{PR}$$$$4\mathrm{Q}=\mathrm{P}+\mathrm{R}\Rightarrow 4\mathrm{ar}=\mathrm{a}+{\mathrm{ar}}^2$$$$\mathrm{a}\left(\mathrm{r}^{\mathrm{2}} −\mathrm{4r}+\mathrm{1}\right)\:=\:\mathrm{0} \…

Question Number 20983 by Tinkutara last updated on 09/Sep/17 $$\mathrm{Find}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{ordered}\mathrm{triples}$$$$(a,b,c)\mathrm{of}\mathrm{positive}\mathrm{integers}\mathrm{such}\mathrm{that}$$$$abc=108.$$ Answered by dioph last updated on 10/Sep/17 $$\mathrm{108}\:=\:\mathrm{2}^{\mathrm{2}} ×\mathrm{3}^{\mathrm{3}}…

Question Number 152052 by john_santu last updated on 25/Aug/21 $$\mathrm{knowns}{\mathrm{x}}_2=\frac{2}{{\mathrm{x}}_1},{\mathrm{x}}_3=\frac{3}{{\mathrm{x}}_2},{\mathrm{x}}_4=\frac{4}{{\mathrm{x}}_3}$$$$,{\mathrm{x}}_5=\frac{5}{{\mathrm{x}}_4},\dots ,{\mathrm{x}}_8=\frac{8}{{\mathrm{x}}_7}.\mathrm{Find}\mathrm{the}$$$$\mathrm{value}\:\mathrm{of}\:\mathrm{x}_{\mathrm{1}} ×\mathrm{x}_{\mathrm{2}}…

Question Number 152034 by mathdanisur last updated on 25/Aug/21 $$\{\begin{array}{l}{3\mathrm{x}}^2-2\mathrm{y}=-\frac{17}{3}\\ {\mathrm{y}}^2-6\mathrm{x}=7\end{array}\Rightarrow \mathrm{xy}=?$$ Answered by Rasheed.Sindhi last updated on 25/Aug/21 $$$$\{\begin{array}{l}{3\mathrm{x}}^2-2\mathrm{y}=-\frac{17}{3}\\ {\mathrm{y}}^2-6\mathrm{x}=7\end{array}$$\:\:\:\Rightarrow\:\:\mathrm{xy}\:=\:?\: \…

Question Number 152029 by mathdanisur last updated on 25/Aug/21 Commented by ghimisi last updated on 25/Aug/21 $${(1-4x)}^{2}or1-4x^2$$ Commented by mathdanisur last updated…