Category: Algebra

Question Number 218119 by MrGaster last updated on 30/Mar/25 $$\left|\begin{array}{cccccc}\epsilon & 1& 0& 0& 0& 1\\ 1& \epsilon & 1& 0& 0& 0\\ 0& 1& \epsilon & 1& 0& 0\\ 0& 0& 1& \epsilon & 1& 0\\ 0& 0& 0& 1& \epsilon & 1\\ 1& 0& 0& 0& 1& \epsilon \end{array}\right|=?$$$$$$ Answered by SdC355 last updated on 30/Mar/25 $$\mathrm{Holy}\mathrm{shit}\dots .\mathrm{what}\mathrm{is}\mathrm{that}\mathrm{Lol}$$$$\mathrm{But}\:\mathrm{that}\:\mathrm{det}\left\{\mathrm{A}\right\}\:\mathrm{is}\:\varepsilon^{\mathrm{6}} −\mathrm{6}\varepsilon^{\mathrm{4}}…

Question Number 218103 by ArshadS last updated on 29/Mar/25 $$x+\frac{1}{x}=3,x^5+\frac{1}{x^5}=?$$ Answered by Rasheed.Sindhi last updated on 29/Mar/25 $${x}+\frac{\mathrm{1}}{{x}}=\mathrm{3}\:,\:{x}^{\mathrm{5}} +\frac{\mathrm{1}}{{x}^{\mathrm{5}} }=? \…

Question Number 218093 by ArshadS last updated on 29/Mar/25 $$Solveforx$$$$\sqrt{2x+3}-\sqrt{x-2}=\sqrt{x+2}$$ Answered by vnm last updated on 29/Mar/25 $$2x+3={(\sqrt{x+2}+\sqrt{x-2})}^2=$$$${x}+\mathrm{2}+{x}−\mathrm{2}+\mathrm{2}\sqrt{\left({x}+\mathrm{2}\right)\left({x}−\mathrm{2}\right)}…

Question Number 218047 by dscm last updated on 27/Mar/25 $$Determinex:$$$$\sqrt{x+3}+\sqrt[3]{x+1}=2$$ Answered by Rasheed.Sindhi last updated on 27/Mar/25 $$\sqrt{x+3}+\sqrt[3]{x+1}=2$$$$\sqrt[{\mathrm{3}}]{{x}+\mathrm{1}}\:={y}\Rightarrow{x}={y}^{\mathrm{3}} −\mathrm{1}…

Question Number 218055 by ArshadS last updated on 27/Mar/25 Commented by ArshadS last updated on 27/Mar/25 $$Solve$$ Answered by Frix last updated on…