Category: Algebra

Question Number 180035 by a.lgnaoui last updated on 06/Nov/22 $$$$ Commented by a.lgnaoui last updated on 06/Nov/22 Commented by mnjuly1970 last updated on…

Question Number 179992 by nadovic last updated on 08/Feb/23 $$\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{absolute}\mathrm{error}\mathrm{for}\mathrm{the}$$$$\mathrm{measurements}:$$$$\left(a\right)250m\mathrm{to}\mathrm{the}\mathrm{nearest}10m.$$$$\left(b\right)143m\mathrm{to}\mathrm{three}\mathrm{sig}.\mathrm{figures}.$$$$\left(c\right)41500cm\mathrm{to}\mathrm{the}\mathrm{nearest}100.$$ Terms of Service Privacy Policy…

Question Number 114388 by ajfour last updated on 18/Sep/20 $$Developedtheformulaforthecubic$$$$equationwhenithasthreerealroots$$$$andCardanoisjustnotsuitableas$$$$discriminantgetsnegative..$$$$Given{\mathit{x}}^3-\mathit{b}\mathit{x}-\mathit{c}=0$$$$with\mathit{b}>0,\mathit{c}>0$$$$\:\frac{\boldsymbol{{t}}}{\boldsymbol{{b}}}=\mathrm{1}+\frac{\mathrm{15}}{\mathrm{2}}\left(\frac{\boldsymbol{{c}}^{\mathrm{2}} }{\boldsymbol{{b}}^{\mathrm{3}} }\right)+\sqrt{\left(\frac{\boldsymbol{{c}}^{\mathrm{2}}…

Question Number 179890 by mr W last updated on 03/Nov/22 $$p\left(x\right)=(1-x)(1+2x)(1-3x)\dots .(1-15x)$$$$$$$$findthecoefficientofthe{x}^{3}term$$$$intheexpansion.$$ Commented by mr W last…

Question Number 48795 by rahul 19 last updated on 28/Nov/18 $$Findthesum:$$$$\:^{\mathrm{30}} {C}_{\mathrm{0}} .\mathrm{5}^{\mathrm{100}} −^{\mathrm{30}} {C}_{\mathrm{1}} .\mathrm{5}^{\mathrm{98}} .\mathrm{3}^{\mathrm{3}} +^{\mathrm{30}} {C}_{\mathrm{2}} .\mathrm{5}^{\mathrm{96}} .\mathrm{3}^{\mathrm{6}} −\:…=? \…