Category: Algebra

Question Number 164926 by Zaynal last updated on 23/Jan/22 $$\lfloor \mathbf{Given}\mathbf{positive}\mathbf{numbers}\mathit{a},\mathit{b},\mathit{c},\mathit{d}\rceil$$$$\mathbf{Prove}\mathbf{that};$$$$\:\:\:\:\:\:\:\:\lfloor\frac{\boldsymbol{{a}}^{\mathrm{3}} +\boldsymbol{{b}}^{\mathrm{3}} +\boldsymbol{{c}}^{\mathrm{3}} }{\boldsymbol{{a}}+\boldsymbol{{b}}+\boldsymbol{{c}}}\:+\:\frac{\boldsymbol{{b}}^{\mathrm{3}} +\boldsymbol{{c}}^{\mathrm{3}} +\boldsymbol{{d}}^{\mathrm{3}} }{\boldsymbol{{b}}+\boldsymbol{{c}}+\boldsymbol{{d}}}\:+\:\frac{\boldsymbol{{c}}^{\mathrm{3}} +\boldsymbol{{d}}^{\mathrm{3}} +\boldsymbol{{a}}^{\mathrm{3}} }{\boldsymbol{{c}}+\boldsymbol{{d}}+\boldsymbol{{a}}}\:+\:\frac{\boldsymbol{{d}}^{\mathrm{3}} +\boldsymbol{{a}}^{\mathrm{3}} +\boldsymbol{{b}}^{\mathrm{3}}…

Question Number 164923 by mathlove last updated on 23/Jan/22 Commented by MJS_new last updated on 24/Jan/22 $$\mathrm{obviously}{x}_1=\frac{1}{16}\wedge x_2=\frac{1}{4}$$ Answered by Eulerian last…

Question Number 33837 by NECx last updated on 25/Apr/18 $$findyif\mid \frac{y-3}{y+1}\mid <2$$$$$$$$imeanmodulusby\mid$$ Answered by Rasheed.Sindhi last updated on 26/Apr/18 $${find}\:{y}\:{if}\:\mid\frac{{y}−\mathrm{3}}{{y}+\mathrm{1}}\mid<\mathrm{2} \…

Question Number 33836 by NECx last updated on 25/Apr/18 $$forwhatvaluesofxif$$$$\frac{x(x-1)}{2x+3}>0$$ Answered by Rasheed.Sindhi last updated on 26/Apr/18 $$\frac{x(x-1)}{2x+3}>0\{\begin{array}{l}x(x-1)>0\wedge 2x+3>0\dots \mathrm{A}\\ x(x-1)<0\wedge 2x+3<0\dots .\mathrm{B}\end{array}$$$$\mathrm{A}\::\:\:{x}>\mathrm{0}\:\wedge\:{x}−\mathrm{1}>\mathrm{0} \…

Question Number 164890 by HongKing last updated on 22/Jan/22 Terms of Service Privacy Policy Contact: info@tinkutara.com