Category: Algebra

Question Number 95767 by PengagumRahasiamu last updated on 27/May/20 Answered by prakash jain last updated on 27/May/20 $$\mathrm{characteric}\mathrm{equation}$$$$x^4-3x^3+2x^2+2x-4=0$$$${x}^{\mathrm{4}}…

Question Number 95765 by I want to learn more last updated on 27/May/20 $$\mathrm{Sum}\mathrm{the}\mathrm{series}:$$$$2(\frac{1}{40}+\frac{1}{20}+\frac{1}{10}+\dots +\mathbf{n})$$ Commented by prakash jain last updated on…

Question Number 30218 by abdo imad last updated on 18/Feb/18 $$provethatD(x^5-1,x^2+x+1)=1.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 161280 by HongKing last updated on 15/Dec/21 $$\mathrm{if}\mathrm{x};\mathrm{y};\mathrm{z}>0\mathrm{and}\frac{1}{1+\mathrm{x}}+\frac{1}{1+\mathrm{y}}+\frac{1}{1+\mathrm{z}}=1$$$$\mathrm{then}\mathrm{prove}\mathrm{that}:$$$$\mathrm{x}+\mathrm{y}+\mathrm{z}⩾\frac{3}{4}\mathrm{xyz}$$ Answered by 1549442205PVT last updated on 16/Dec/21 $${From}\:{the}\:{hypothesis}\:\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{x}}\:+\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{y}}\:+\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{z}}\:=\:\mathrm{1} \…

Question Number 161242 by HongKing last updated on 14/Dec/21 $$\mathrm{x};\mathrm{y};\mathrm{z}<0$$$$\frac{{\mathrm{x}}^3}{\sqrt{\mathrm{yz}}}=-3;\frac{{\mathrm{y}}^3}{\sqrt{\mathrm{xz}}}=-6;\frac{{\mathrm{z}}^3}{\sqrt{\mathrm{xy}}}=-8$$$$\mathrm{find}\mathrm{x}\cdot \mathrm{y}\cdot \mathrm{z}=?$$ Answered by mr W last updated…