Category: Algebra

Question Number 149469 by mathdanisur last updated on 05/Aug/21 $$\mathrm{Compare}:$$$${1900}^{\frac{3}{4}}+{99}^{\frac{3}{4}}\mathbf{and}{1999}^{\frac{3}{4}}$$ Answered by mindispower last updated on 05/Aug/21 $${f}\left({x}\right)={x}^{\frac{\mathrm{3}}{\mathrm{4}}} +\left(\mathrm{1}−{x}\right)^{\frac{\mathrm{3}}{\mathrm{4}}}…

Question Number 83931 by john santu last updated on 08/Mar/20 $$\frac{1}{(\sqrt{1}+\sqrt{2})(\sqrt[4]{1}+\sqrt[4]{2})}+\frac{1}{(\sqrt{2}+\sqrt{3})(\sqrt[4]{2}+\sqrt[4]{3})}+$$$$\frac{1}{(\sqrt{3}+\sqrt{4})(\sqrt[4]{3}+\sqrt[4]{4})}+\dots +\frac{1}{(\sqrt{255}+\sqrt{256})(\sqrt[4]{255}+\sqrt[4]{256})}$$$$=\dots$$ Commented by john santu last updated on 08/Mar/20…

Question Number 18388 by tawa tawa last updated on 19/Jul/17 $$\mathrm{Solve}\mathrm{simultaneously}.$$$$\mathrm{x}+\mathrm{y}=5\dots \dots .\left(\mathrm{i}\right)$$$$5^{\mathrm{x}}+\mathrm{y}=15\dots \dots \left(\mathrm{ii}\right)$$ Answered by mrW1 last updated on 19/Jul/17…

Question Number 149458 by mathdanisur last updated on 05/Aug/21 Commented by EDWIN88 last updated on 06/Aug/21 $$n\left(S\right)=C_2^7=\frac{7\times 6}{2\times 1}=21$$$$n\left(A\right)=18$$$$A=\{(1,2),(1,4),(1,6),(2,3),(2,4),$$$$\:\:\:\:\:\left(\mathrm{2},\mathrm{5}\right),\left(\mathrm{2},\mathrm{6}\right),\left(\mathrm{3},\mathrm{4}\right),\left(\mathrm{3},\mathrm{6}\right),\left(\mathrm{4},\mathrm{5}\right),\left(\mathrm{4},\mathrm{6}\right),…

Question Number 83910 by redmiiuser last updated on 07/Mar/20 $$\mathrm{find}\mathrm{all}6\mathrm{digit}\mathrm{numbers}\mathrm{which}\mathrm{are}\mathrm{not}$$$$\mathrm{only}\mathrm{palindrome}\mathrm{but}\mathrm{also}\mathrm{divisible}\mathrm{by}495.$$ Commented by redmiiuser last updated on 08/Mar/20 $$\mathrm{CAN}\mathrm{ANYONE}$$$$\mathrm{ANSWER}\:\mathrm{THIS} \…