Browse · MATH Print → jmc algebra intermediate Problem Let z be a complex number such that z+z1=1.Find z3. Solution — click to reveal From the equation z+z1=1, z2+1=z,so z2−z+1=0. Then (z+1)(z2−z+1)=0, which expands as z3+1=0. Hence, z3=−1. Final answer -1 ← Previous problem Next problem →