Category: Algebra

Question Number 63485 by ANTARES VY last updated on 04/Jul/19 $$\mathbf{f}(\mathbf{x}-3)+\mathbf{f}\left(\mathbf{x}\right)=2\mathbf{x}-3$$$$\mathbf{F}\left(2\right)=0.$$$$\mathbf{F}(-2)=?$$ Answered by MJS last updated on 04/Jul/19 $${f}\left({x}\right)={ax}+{b}…

Question Number 63449 by minh2001 last updated on 04/Jul/19 $$Doyourememberthat$$$$\pi \approx 3.1415926535897932\ddots$$$$38462643383279502884\ddots$$$$197\dots$$ Commented by minh2001 last updated on 04/Jul/19…

Question Number 128932 by Koyoooo last updated on 11/Jan/21 Commented by mr W last updated on 11/Jan/21 $$questioniswrong!$$$$-3⩽2a^2+b^2+2a-4b⩽44$$ Commented…

Question Number 63381 by minh2001 last updated on 03/Jul/19 $$solveforbothxandn$$$$inequation:x^n=216inall$$$$partofinteger$$$$\text{Extra left or missing right}$$$$\text{Extra left or missing right}$$$$\mathscr{C}\underset{{n}=\mathrm{5}}…

Question Number 63373 by MJS last updated on 31/Jul/19 $$\mathrm{just}\mathrm{found}\mathrm{this}\mathrm{on}\mathrm{the}\mathrm{web}$$$$\mathrm{I}\mathrm{thought}\mathrm{it}\mathrm{might}\mathrm{help}\mathrm{in}\mathrm{some}\mathrm{cases}\mathrm{where}$$$$\mathrm{quartics}\mathrm{appear}\mathrm{i}.\mathrm{e}.\mathrm{Sir}{\mathrm{Aifour}}^{\prime }\mathrm{s}\mathrm{geometric}$$$$\mathrm{questions}.\mathrm{sometimes}\mathrm{we}\mathrm{know}\mathrm{the}\mathrm{nature}\mathrm{of}$$$$\mathrm{the}\mathrm{roots},\mathrm{but}\mathrm{how}\mathrm{to}\mathrm{use}\mathrm{this}\mathrm{information}?$$$$$$$${ax}^{\mathrm{4}} +{bx}^{\mathrm{3}} +{cx}^{\mathrm{2}} +{dx}+{e}=\mathrm{0}…