Question

factorise:x^4+4x+1….........

Answer 1

xreal=12–√±22–√−12−−−−−−−√

ximg=−12–√±i22–√+12−−−−−−−√

There is probably an easier was to algebraically solve the equation given that it’s missing two terms, but I wasn’t able to find one in the few minutes I spent playing around with it. An easy one to look out are quartics of the form Ax4+Bx2+C=0 which can be solved as quadratics by setting y=x2.