Category: Algebra

Question Number 161433 by HongKing last updated on 17/Dec/21 $$\mathrm{if}\mathrm{x};\mathrm{y};\mathrm{z}>0\mathrm{such}\mathrm{that}\mathrm{x}+\mathrm{y}+\mathrm{z}=3$$$$\mathrm{and}\mathit{\lambda }⩾0\mathrm{then}\mathrm{prove}\mathrm{that}:$$$$\frac{\mathrm{x}}{{\mathrm{y}}^3+\lambda {\mathrm{y}}^2}+\frac{\mathrm{y}}{{\mathrm{z}}^3+\lambda {\mathrm{z}}^2}+\frac{\mathrm{z}}{{\mathrm{x}}^3+\lambda {\mathrm{x}}^2}⩾\frac{3}{\lambda +1}$$ Terms of Service…

Question Number 161416 by mathlove last updated on 17/Dec/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 95843 by john santu last updated on 28/May/20 $$\frac{{\left(\sqrt{3\mathrm{x}-7}\right)}^2-2}{\mathrm{x}-3}⩽\frac{3-{\left(\sqrt{\mathrm{x}}\right)}^2}{\mathrm{x}-3}$$$$\mathrm{find}\mathrm{the}\mathrm{solution}$$ Answered by john santu last updated on 28/May/20…

Question Number 161366 by mr W last updated on 17/Dec/21 $$\left[similarquestionreposted\right]$$$$ifa+\frac{3}{b}=b+\frac{3}{c}=c+\frac{3}{a}witha\ne b\ne c$$$$anda,b,c\in \mathbb{R}.find{\left(abc\right)}^2=?$$ Answered by 1549442205PVT last updated on 18/Dec/21…

Question Number 30267 by Nayon.Sm last updated on 19/Feb/18 $$CanWeexpandthefollowing$$$$expression?$$$$(1+x)(1+2x)(1+3x)\dots \dots (1+nx)$$$$oristhereanyformulaforthis?$$ Commented by Penguin last updated on 19/Feb/18…