Abstract Algebra: Theory and Applications · Problem 17.6.11

Integral Domains — Thomas Judson

Mathematics — Abstract Algebra · solving-quartic

Problem

Show that the right-hand side of Exercise 17.6.10 can be put in the form (my+k)2(my + k)^2 if and only if q2−4(z−p)(14z2−r)=0.q^2 - 4(z-p)\left(\frac{1}{4}z^2 - r\right) = 0.

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