Category: Algebra

Question Number 22177 by Tinkutara last updated on 12/Oct/17 $$\frac{C_0}{2}-\frac{C_1}{3}+\frac{C_2}{4}-\frac{C_3}{5}+\dots \dots \dots .$$ Answered by ajfour last updated on 12/Oct/17 $${x}\left(\mathrm{1}−{x}\right)^{{n}} ={C}_{\mathrm{0}}…

Question Number 22154 by Joel577 last updated on 12/Oct/17 $$\mathrm{Given}a,b,c\mathrm{real}\mathrm{and}\mathrm{positive}\mathrm{numbers},\mathrm{and}$$$$a+b+c=1$$$$\mathrm{Find}\mathrm{the}\mathrm{minimum}\mathrm{value}\mathrm{of}\frac{a+b}{abc}$$ Answered by ajfour last updated on 12/Oct/17 $${let}\:{a}={cx}\:\:\:\:{and}\:\:{b}={cy} \…

Question Number 153209 by Tawa11 last updated on 05/Sep/21 Commented by mr W last updated on 05/Sep/21 Commented by Tawa11 last updated on 05/Sep/21 $$\mathrm{Thanks}\:\mathrm{sir}.\:\mathrm{I}\:\mathrm{appreciate}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}.…

Question Number 153203 by mathdanisur last updated on 05/Sep/21 Answered by Kamel last updated on 05/Sep/21 $${f}\left({x}\right)=\frac{\mathrm{1}−\sqrt{\mathrm{1}−\mathrm{2}{x}}}{\mathrm{2}},{f}_{{n}} ^{−\mathrm{1}} =\underset{…………… {n}\:{times} ………} {{f}^{−\mathrm{1}} \circ{f}^{−\mathrm{1}} \circ{f}^{−\mathrm{1}} \circ…\circ{f}^{−\mathrm{1}}…

Question Number 22103 by Parvez akhter last updated on 11/Oct/17 $$\text{Extra left or missing right}$$ Commented by Joel577 last updated on 11/Oct/17 $$15degreeor15radian?$$ Commented…