“Don’t solve for z”

We know z^2=z-1 so can we figure out the value for z^5+4z^3+z^2+1? You might want to solve for z from the given quadratic equation and then plug in the z value. However, that is a long way. You can't just plug in z=-1 anymore!    • If z^2=z-1, then z^5+4z^3+z-2=? (DON'T SOL...   ----------------------------- I help students master the basics of math. You can show your support and help me create even better content by becoming a patron on Patreon 👉   / blackpenredpen  . Get your "algebra" t-shirt 👉 https://amzn.to/3A8Ed4k Every bit of support means the world to me and motivates me to keep bringing you the best math lessons! Thank you! ----------------------------- #math #algebra #mathtutorials