Category: Algebra

Question Number 123024 by aupo14 last updated on 21/Nov/20 Answered by Olaf last updated on 21/Nov/20 $$\mathrm{We}\mathrm{can}\mathrm{easily}\mathrm{find}\mathrm{the}\mathrm{solution}x=\frac{1}{4}$$$$\mathrm{and}\mathrm{by}\mathrm{plotting}\mathrm{the}\mathrm{curve}\mathrm{we}\mathrm{verify}$$$$\mathrm{there}\mathrm{are}\mathrm{no}\mathrm{more}\mathrm{solutions}.$$ Terms of…

Question Number 57480 by mr W last updated on 05/Apr/19 $$ifF(x,y)=F(y,x)andx+y=c\left(constant\right)$$$$provethat{F}_{maxormin}=F(\frac{c}{2},\frac{c}{2}).$$ Commented by tanmay.chaudhury50@gmail.com last updated on 07/Apr/19 $${what}\:{is}\:{the}\:{difference}\:{between}\:{F}\left({x},{y}\right)\:{and}\:{F}\left({y},{x}\right) \…

Question Number 188535 by Rupesh123 last updated on 03/Mar/23 Answered by mr W last updated on 03/Mar/23 $$duetosymmetry$$$$atextremum$$$$a=b=c=x>0$$$${S}=\frac{\mathrm{3}\left({x}+\mathrm{1}\right)^{\mathrm{3}} }{{x}}=\frac{\mathrm{3}\left({x}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}}\right)}{{x}}…

Question Number 188508 by Rupesh123 last updated on 02/Mar/23 Answered by som(math1967) last updated on 02/Mar/23 $$a^3+b^3+c^3-3abc=0$$$$\Rightarrow\left({a}+{b}+{c}\right)\left({a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} −{ab}−{bc}−{ca}\right)=\mathrm{0}…

Question Number 57434 by Tawa1 last updated on 04/Apr/19 $$\mathrm{is}\mathrm{there}\mathrm{a}\mathrm{way}\mathrm{to}\mathrm{find}\mathrm{the}\mathrm{sum}\mathrm{to}\mathrm{infinity}\mathrm{of}\mathrm{a}\mathrm{product}\mathrm{operator}$$$$\mathrm{e}.\mathrm{g}\mathrm{product}\mathrm{of}1.2.3.4.5\dots [1,\mathrm{infinity}]$$ Terms of Service Privacy Policy Contact: info@tinkutara.com