Category: Algebra

Question Number 8633 by Yozzias last updated on 19/Oct/16 $$\mathrm{Find}\underset{\mathrm{n}\to \mathrm{\infty }}{\lim }\frac{{\mathrm{n}}^{\mathrm{p}}}{{\mathrm{x}}^{\mathrm{n}}}\mathrm{where}\mathrm{p}\in {\mathbb{Z}}^{+}.$$ Commented by prakash jain last updated on 19/Oct/16 $$\mathrm{Does}\:{x}\:\mathrm{cover}\:\mathrm{entire}\:\mathrm{range}\:\mathrm{of}\:\mathbb{R}?…

Question Number 139700 by EnterUsername last updated on 30/Apr/21 $$\mathrm{If}{z}_1,z_2\mathrm{and}{z}_3\mathrm{are}\mathrm{distinct}\mathrm{complex}\mathrm{numbers}\mathrm{such}$$$$\mathrm{that}\mid z_1\mid =\mid z_2\mid =\mid z_3\mid =1\mathrm{and}$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{{z}_{\mathrm{1}} ^{\mathrm{2}} }{{z}_{\mathrm{2}} {z}_{\mathrm{3}} }+\frac{{z}_{\mathrm{2}} ^{\mathrm{2}}…

Question Number 74148 by mathocean1 last updated on 19/Nov/19 $$\{\begin{array}{l}-x\sqrt{3}+2my\sqrt{2}=\frac{\sqrt{3}}{3}\\ 2mx-3y\sqrt{6}=1\end{array}$$$$$$$$helpmesolveit.$$ Answered by MJS last updated on 19/Nov/19 $$\mathrm{2}\:\mathrm{equations}\:\mathrm{in}\:\mathrm{3}\:\mathrm{unknowns}\:\Rightarrow\:\mathrm{parametric} \…

Question Number 8602 by tawakalitu last updated on 17/Oct/16 $$\mathrm{Find}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{p}\mathrm{and}\mathrm{q}\mathrm{that}\mathrm{will}\mathrm{make}$$$${\mathrm{x}}^4+{13\mathrm{x}}^3+{6\mathrm{x}}^2+\mathrm{px}+\mathrm{q}$$$$\mathrm{a}\mathrm{perfect}\mathrm{square}$$ Answered by sandy_suhendra last updated on…

Question Number 74129 by malwaan last updated on 19/Nov/19 $$2{\mathit{C}}_4^{\mathit{n}}=35{\mathit{C}}_3^{\frac{\mathit{n}}{2}}$$$$\Rightarrow \mathit{n}=?$$ Answered by MJS last updated on 20/Nov/19…