Category: Arithmetic

Question Number 167609 by peter frank last updated on 20/Mar/22 Answered by MJS_new last updated on 20/Mar/22 $$\int \frac{1-x^2}{(x-2x^2)}dx=\int (\frac{1}{2}+\frac{1}{x}-\frac{3}{2(2x-1)})dx=$$$$=\frac{x}{2}+\ln \mid x\mid -\frac{3}{4}\ln \mid 2x-1\mid +C$$ Commented…

Question Number 167533 by cortano1 last updated on 19/Mar/22 $$\mathrm{Find}\mathrm{out}\mathrm{a},\mathrm{b},\mathrm{c}\mathrm{where}\{\begin{array}{l}{\mathrm{a}}^2+{\mathrm{b}}^2={\mathrm{c}}^2\\ \mathrm{a}+\mathrm{b}+\mathrm{c}=1000\end{array}$$ Commented by Rasheed.Sindhi last updated on 19/Mar/22 $$\mathrm{a},\mathrm{b},\mathrm{c}\in \mathbb{N}or\mathrm{a},\mathrm{b},\mathrm{c}\in \mathbb{Z}?$$…

Question Number 167334 by cortano1 last updated on 13/Mar/22 $$b^b.2^{b^{b^2}}=4\Rightarrow b=?$$ Answered by MJS_new last updated on 13/Mar/22 $${b}\approx\mathrm{1}.\mathrm{28966784838} \…

Question Number 36163 by bshahid010@gmail.com last updated on 29/May/18 Commented by abdo mathsup 649 cc last updated on 29/May/18 $${let}\:{put}\:\:{A}_{{n}} =\:\prod_{{k}=\mathrm{2}} ^{{n}} \:\left(\:\:\mathrm{1}\:−\frac{\mathrm{1}}{{k}^{\mathrm{2}} }\right) \…

Question Number 36119 by anuyadavdeepak@gmail.com last updated on 29/May/18 $$3\sqrt{43\hat{3}}$$ Commented by Joel579 last updated on 29/May/18 $$\mathrm{since}433\mathrm{is}\mathrm{prime}\mathrm{number},\mathrm{it}{\mathrm{can}}^{\prime }\mathrm{t}\mathrm{be}\mathrm{simplified}$$ Commented by…