Category: Algebra

Question Number 148746 by mathdanisur last updated on 30/Jul/21 $$ifx-y=y-z=4$$$$find{x}^2+z^2-2y^2=?$$ Answered by Rasheed.Sindhi last updated on 30/Jul/21 $${if}\:\:\:{x}\:-\:{y}\:=\:{y}\:-\:{z}\:=\:\mathrm{4}…

Question Number 148708 by mathdanisur last updated on 30/Jul/21 $${tg}^6\left(36°\right)+{tg}^6\left(72°\right)=?$$ Commented by liberty last updated on 31/Jul/21 $$850$$ Terms…

Question Number 148707 by mathdanisur last updated on 30/Jul/21 $$Solveforequation:$$$$2tg\left(3x\right)-3tg\left(2x\right)={tg}^2\left(2x\right)\cdot tg\left(3x\right)$$ Answered by nimnim last updated on 30/Jul/21 $$Letmegiveatry\dots .$$$$\Rightarrow\mathrm{2}\left(\frac{\mathrm{3}{tanx}−{tan}^{\mathrm{3}}…

Question Number 148655 by mathdanisur last updated on 29/Jul/21 $$\underset{\mathit{n}\to \mathrm{\infty }}{lim}\underset{0}{\stackrel{1}{\int }}\frac{nx}{1+n^2{x}^4}dx=?$$ Answered by ArielVyny last updated on 29/Jul/21 $${n}\int_{\mathrm{0}}…

Question Number 148654 by mathdanisur last updated on 29/Jul/21 $$\underset{x\to 1}{lim}{\left(\frac{1+x}{2+x}\right)}^{\frac{1-\sqrt{\mathit{x}}}{1-\mathit{x}}}=?$$ Answered by ArielVyny last updated on 29/Jul/21 $$e^{\frac{1-\sqrt{x}}{1-x}ln\left(\frac{1+x}{2+x}\right)}posonst=x-1\{\begin{array}{l}x\to 1\\ t\to 0\end{array}$$$${e}^{\frac{\sqrt{{t}+\mathrm{1}}−\mathrm{1}}{{t}}{ln}\left(\frac{{t}+\mathrm{2}}{{t}+\mathrm{3}}\right)}…