Category: Algebra

Question Number 88921 by M±th+et£s last updated on 13/Apr/20 $$findx,y$$$$x-2y-\sqrt{xy}=0$$$$\sqrt{x-1}-\sqrt{2y-1}=1$$ Answered by behi83417@gmail.com last updated on 14/Apr/20 $$\begin{cases}{\left(\mathrm{x}−\mathrm{2y}\right)^{\mathrm{2}} =\mathrm{xy}\Rightarrow\mathrm{x}^{\mathrm{2}}…

Question Number 154444 by Rasheed.Sindhi last updated on 18/Sep/21 Commented by Rasheed.Sindhi last updated on 18/Sep/21 $$\text{You can't use 'macro parameter character \#' in math mode}$$ Answered by Rasheed.Sindhi last updated on…

Question Number 23357 by Tinkutara last updated on 29/Oct/17 $$Provethat\frac{1}{m!}{C}_0+\frac{n}{(m+1)!}{C}_1+\frac{n(n-1)}{(m+2)!}{C}_2$$$$+\dots +\frac{n(n-1)\dots 2.1}{(m+n)!}{C}_n=$$$$\frac{(m+n+1)(m+n+2)\dots (m+2n)}{(m+n)!}.$$ Terms of Service Privacy Policy Contact:…

Question Number 88873 by jagoll last updated on 13/Apr/20 $$3+\sqrt{x^2-5}>\mid x-1\mid$$ Commented by john santu last updated on 13/Apr/20 $$\Rightarrow\left(\mathrm{3}+\sqrt{{x}^{\mathrm{2}} −\mathrm{5}}\right)^{\mathrm{2}} \:>\:\left({x}−\mathrm{1}\right)^{\mathrm{2}} \…

Question Number 154400 by mathdanisur last updated on 18/Sep/21 $$\mathrm{x}\sqrt{\mathrm{y}}-\mathrm{y}\sqrt{\mathrm{x}}=82$$$$\mathrm{x}\sqrt{\mathrm{x}}+\mathrm{y}\sqrt{\mathrm{y}}=83$$$$\frac{9}{5}\cdot (\mathrm{x}+\mathrm{y})=?$$ Answered by TheHoneyCat last updated on 20/Sep/21 $$\mathrm{just}\:\mathrm{so}\:\mathrm{you}\:\mathrm{understand}\:\mathrm{my}\:\mathrm{mess}\:\left(\mathrm{1}\right)\:\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{first}\:\mathrm{equation}\:\mathrm{and}\:\left(\mathrm{2}\right)\:\mathrm{the}\:\mathrm{other} \…