Category: Algebra

Question Number 199183 by hardmath last updated on 29/Oct/23 $$\mathrm{B},\mathrm{O},\mathrm{M}-\mathrm{Each}\mathrm{is}\mathrm{a}\mathrm{distinct}\mathrm{positive}$$$$\mathrm{integer}$$$$\mathrm{If}\mathrm{B}\cdot \mathrm{O}\cdot \mathrm{M}=223$$$$\mathrm{Find}:\max (\mathrm{B}+\mathrm{O}+\mathrm{M})=?$$ Answered by mr W last updated on…

Question Number 199165 by hardmath last updated on 28/Oct/23 Answered by Frix last updated on 28/Oct/23 $$-1={\mathrm{e}}^{\mathrm{i}\pi }$$$${(-1)}^{\pi }={\mathrm{e}}^{\mathrm{i}{\pi }^2}=$$$$=\mathrm{cos}\:\pi^{\mathrm{2}} \:+\mathrm{i}\:\mathrm{sin}\:\pi^{\mathrm{2}}…

Question Number 199135 by hardmath last updated on 28/Oct/23 $$\mathrm{a}+\frac{1}{\mathrm{a}}=3$$$$\mathrm{find}:{\mathrm{a}}^5+\frac{1}{{\mathrm{a}}^5}=?$$ Answered by som(math1967) last updated on 28/Oct/23 $$\mathrm{123} \…

Question Number 199159 by cortano12 last updated on 28/Oct/23 $$\sqrt[4]{8(\mathrm{x}+1)}+\sqrt[4]{\frac{\mathrm{x}+1}{\mathrm{x}-1}}=\sqrt[4]{5{({\mathrm{x}}^2+1)}^2-3}$$$$\mathrm{x}=?$$ Answered by Frix last updated on 28/Oct/23 $$\mathrm{You}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate} \…

Question Number 199109 by mnjuly1970 last updated on 28/Oct/23 $$$$$$Q:\alpha ,\beta ,\gamma aretherootsofthefollowing$$$$equation.findthevalueof:$$$$$$$${Eq}^n:x^3-2x^2+x+2=0$$$$E=\frac{\alpha }{\beta +\gamma }+\frac{\beta }{\alpha +\gamma }+\frac{\gamma }{\alpha +\beta }$$$$…