Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 69143 by ajfour last updated on 20/Sep/19

x^4 +ax^3 +bx^2 +cx+d=0  let  x=f(t)  linear perhaps  t^4 +At^3 +Bt^2 +Ct+D=0  can we have       4AB=A^3 +8C  solving at most  a degree three polynomial ?

$${x}^{\mathrm{4}} +{ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d}=\mathrm{0} \\ $$$${let}\:\:{x}={f}\left({t}\right)\:\:{linear}\:{perhaps} \\ $$$${t}^{\mathrm{4}} +{At}^{\mathrm{3}} +{Bt}^{\mathrm{2}} +{Ct}+{D}=\mathrm{0} \\ $$$${can}\:{we}\:{have}\:\: \\ $$$$\:\:\:\mathrm{4}{AB}={A}^{\mathrm{3}} +\mathrm{8}{C}\:\:{solving}\:{at}\:{most} \\ $$$${a}\:{degree}\:{three}\:{polynomial}\:? \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com