Category: Algebra

Question Number 125868 by I want to learn more last updated on 14/Dec/20 Answered by mindispower last updated on 14/Dec/20 $$\frac{1}{2x}+\frac{1}{2y}⩾\frac{2}{x+y}.\iff {(x+y)}^2⩾4xy,x,y>0$$$$\Leftrightarrow\left({x}−{y}\right)^{\mathrm{2}} \geqslant\mathrm{0}\:\:{true}…

Question Number 125864 by MathSh last updated on 14/Dec/20 $$\frac{1}{1+1^2+1^4}+\frac{2}{1+2^2+2^4}+\frac{3}{1+3^2+3^4}+\dots +\frac{50}{1+{50}^2+{50}^4}=?$$ Answered by Dwaipayan Shikari last…

Question Number 191395 by Mingma last updated on 23/Apr/23 Answered by Rasheed.Sindhi last updated on 23/Apr/23 $$xy+yz+zx=0;\frac{y+z}{x}+\frac{x+z}{y}+\frac{x+y}{z}=?$$$$\frac{y+z}{x}+\frac{x+z}{y}+\frac{x+y}{z}$$$$=\frac{y+z}{x}+1+\frac{x+z}{y}+1+\frac{x+y}{z}+1-3$$$$=\frac{x+y+z}{x}+\frac{x+y+z}{y}+\frac{x+y+z}{z}-3$$$$=\left({x}+{y}+{z}\right)\left(\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{y}}+\frac{\mathrm{1}}{{z}}\right)−\mathrm{3}…

Question Number 191389 by MATHEMATICSAM last updated on 23/Apr/23 $$\mathrm{Factorize}:$$$$x^3+\frac{1}{x^3}+\frac{11}{8}$$ Answered by Frix last updated on 23/Apr/23 $${x}^{\mathrm{3}} +\frac{\mathrm{1}}{{x}^{\mathrm{3}}…

Question Number 60255 by ANTARES VY last updated on 19/May/19 $$\mathbf{b}=\sqrt[3]{\frac{\mathbf{kT}}{\mathbf{P}}}.\mathbf{distance}\mathbf{molekular}$$$$\mathbf{prove}.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com