Category: Algebra

Question Number 128698 by I want to learn more last updated on 09/Jan/21 Commented by I want to learn more last updated on 09/Jan/21 $$\mathrm{Altitude}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle}.…

Question Number 128636 by john_santu last updated on 09/Jan/21 $$\mathrm{Solve}\mathrm{diopthantine}\mathrm{equation}$$$$\frac{1}{\mathrm{a}}+\frac{1}{\mathrm{b}}=\frac{2}{17}.$$ Answered by liberty last updated on 09/Jan/21 $$\Rightarrow \frac{1}{\mathrm{a}}+\frac{1}{\mathrm{b}}=\frac{2}{17};2\mathrm{ab}=17(\mathrm{a}+\mathrm{b})$$$$\mathrm{consider}\:\left(\mathrm{2a}−\mathrm{17}\right)\left(\mathrm{2b}−\mathrm{17}\right)=\mathrm{4ab}−\mathrm{34}\left(\mathrm{a}+\mathrm{b}\right)+\mathrm{17}^{\mathrm{2}} \…

Question Number 63095 by aliesam last updated on 28/Jun/19 Answered by MJS last updated on 29/Jun/19 $$\sqrt[3]{4x^4-40x^2+100}-\sqrt[3]{2x^2-10}=20-2x^2$$$$x^2=s$$$$\sqrt[{\mathrm{3}}]{\mathrm{4}{s}^{\mathrm{2}}…

Question Number 128617 by ajfour last updated on 08/Jan/21 Commented by ajfour last updated on 08/Jan/21 $$Expressxintermsoft,then$$$$useittosolve{x}^3=x+c.$$ Answered by ajfour…

Question Number 128589 by mnjuly1970 last updated on 08/Jan/21 $$\dots nicecalculus\dots$$$$a\in {\mathbb{R}}^{+}$$$$\mathrm{\&}\}\Rightarrow \sqrt{a-\sqrt{a}}=?$$$$a^2-17a=16\sqrt{a}$$$$$$ Answered by snipers237…