Category: Algebra

Question Number 181593 by mnjuly1970 last updated on 27/Nov/22 $$$$$$\mathrm{I}\mathrm{f},a^2+5b^2+4c^2=4b(a+c)$$$$$$$$\mathrm{then},\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}:$$$$$$$$\:\:\:\:\:\:\:\:\:\:\mathrm{E}\:=\:\frac{\:\left(\:{b}+\:{c}\:−{a}\:\right)^{\:\mathrm{3}} }{\:{abc}}\:=\:?\:\:\:\:\left(\:{abc}\:\neq\:\mathrm{0}\:\right)\:\:\:\:\:\:\: \…

Question Number 116059 by Study last updated on 30/Sep/20 $$\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{n!}{3^{n+1}}$$ Answered by MWSuSon last updated on 30/Sep/20 $$\mathrm{Do}\mathrm{you}\mathrm{want}\mathrm{to}\mathrm{test}\mathrm{for}\mathrm{convergence}?$$…

Question Number 116056 by Study last updated on 30/Sep/20 $$\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{5^n}{n!}=?$$ Answered by Dwaipayan Shikari last updated on 30/Sep/20 $$\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty}…

Question Number 50511 by behi83417@gmail.com last updated on 17/Dec/18 $$\text{You can't use 'macro parameter character \#' in math mode}$$$$\sqrt{a+\sqrt{a-x}}+\sqrt{a-\sqrt{a+x}}=2x$$ Answered by behi83417@gmail.com last updated on 17/Dec/18 Commented by behi83417@gmail.com last…

Question Number 181524 by Rasheed.Sindhi last updated on 26/Nov/22 $$f(x+\frac{1}{x})=x^5+\frac{1}{x^5};f\left(3\right)=?$$$$\text{You can't use 'macro parameter character \#' in math mode}$$ Answered by Rasheed.Sindhi last updated on 26/Nov/22 $${f}\left({x}+\frac{\mathrm{1}}{{x}}\right)={x}^{\mathrm{5}} +\frac{\mathrm{1}}{{x}^{\mathrm{5}}…