Category: Algebra

Question Number 190536 by cortano12 last updated on 05/Apr/23 $$\mathrm{If}\mathrm{p},\mathrm{q}\mathrm{and}\mathrm{r}\mathrm{are}\mathrm{the}\mathrm{roots}\mathrm{of}\mathrm{equation}$$$${\mathrm{x}}^3-{3\mathrm{x}}^2+1=0\mathrm{then}\mathrm{find}\mathrm{the}\mathrm{value}$$$$\mathrm{of}\sqrt[3]{3\mathrm{p}-2}+\sqrt[3]{3\mathrm{q}-2}+\sqrt[3]{3\mathrm{r}-2}$$ Answered by Frix last updated on 05/Apr/23…

Question Number 190520 by mathlove last updated on 04/Apr/23 $$ifa,bandcrootofthe$$$$x^3-16x^2-57x+1=0$$$$thifindthdvolueof$$$$a^{\frac{1}{5}}+b^{\frac{1}{5}}+c^{\frac{1}{5}}=?$$ Answered by…

Question Number 190523 by Rupesh123 last updated on 04/Apr/23 Answered by mr W last updated on 01/Sep/23 $$(m+n+p)(mn+np+pm)=mnp$$$$(m+n)(mn+np+pm+p^2)=0$$$$(m+n)[m(n+p)+(n+p)p]=0$$$$\left({m}+{n}\right)\left({n}+{p}\right)\left({p}+{m}\right)=\mathrm{0}…

Question Number 124963 by 676597498 last updated on 07/Dec/20 $${\int }_0^{\frac{\pi }{4}}\frac{\sin \left(\varsigma \right)\mathrm{d}\varsigma }{\cos \left(\varsigma \right)+\sin \left(\varsigma \right)}\mathrm{d}\varsigma$$$$\mathrm{where}\varsigma :\mathrm{zeta}$$ Commented by MJS_new last updated on 07/Dec/20 $$\mathrm{syntax}\:\mathrm{error}. \…

Question Number 190448 by Abdullahrussell last updated on 03/Apr/23 Answered by a.lgnaoui last updated on 04/Apr/23 $$a+b+c=6\left(1\right)$$$$ab+bc+ca=3\left(2\right)$$$$abc=-1\left(3\right)$$$$$$$$\left(\mathrm{1}\right)×\left(\mathrm{2}\right)\Rightarrow\:{a}^{\mathrm{2}}…