Abstract Algebra: Theory and Applications · Problem 17.6.10

Integral Domains — Thomas Judson

Mathematics — Abstract Algebra · solving-quartic

Problem

Show that (y2+12z)2=(z−p)y2−qy+(14z2−r).\left(y^2 + \frac{1}{2}z\right)^2 = (z-p)y^2 - qy + \left(\frac{1}{4}z^2 - r\right).

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