Category: Algebra

Question Number 130242 by Raxreedoroid last updated on 23/Jan/21 $$\mathrm{Find}m$$$$n={\left(p_1{p}_2\right)}^m$$$$\mathrm{2}{n}=\left({p}_{\mathrm{1}} ^{\mathrm{1}+{log}_{{p}_{\mathrm{1}} {p}_{\mathrm{2}} } {n}} \right)\left({p}_{\mathrm{2}} ^{\mathrm{1}+{log}_{{p}_{\mathrm{1}} {p}_{\mathrm{2}} } {n}}…

Question Number 64604 by mathmax by abdo last updated on 19/Jul/19 $$findallintegrnaturalsnandkwichverify$$$$k!=(2^n-1)(2^n-2)(2^n-4)\dots (2^n-2^{n-1})$$ Terms of Service Privacy…

Question Number 130092 by Adel last updated on 22/Jan/21 Commented by 0731619177 last updated on 24/Jan/21 $$hhhh$$ Answered by Dwaipayan Shikari last updated…

Question Number 64542 by LPM last updated on 19/Jul/19 Answered by MJS last updated on 19/Jul/19 $$b=1-a$$$$a^2+{(1-a)}^2=2\Rightarrow a=\frac{1}{2}\pm \frac{\sqrt{3}}{2}\Rightarrow b=\frac{1}{2}\mp \frac{\sqrt{3}}{2}$$$${a}^{\mathrm{7}} =\frac{\mathrm{71}}{\mathrm{16}}\pm\frac{\mathrm{41}\sqrt{\mathrm{3}}}{\mathrm{16}}\:\:\:{b}^{\mathrm{7}} =\frac{\mathrm{71}}{\mathrm{16}}\mp\frac{\mathrm{41}\sqrt{\mathrm{3}}}{\mathrm{16}}…

Question Number 64508 by lalitchand last updated on 18/Jul/19 $$\mathrm{factorize}(\mathrm{x}+1)(\mathrm{x}+3)(\mathrm{x}+5)(\mathrm{x}+7)+16$$ Commented by Prithwish sen last updated on 18/Jul/19 $$(\mathrm{x}+1)(\mathrm{x}+7)(\mathrm{x}+3)(\mathrm{x}+5)+16$$$$=\left(\mathrm{x}^{\mathrm{2}} +\mathrm{8x}+\mathrm{7}\right)\left(\mathrm{x}^{\mathrm{2}} +\mathrm{8x}+\mathrm{15}\right)+\mathrm{16}…