Consider an open-address hash table with a load factor ?. Find the nonzero value ? for which

Question:

Consider an open-address hash table with a load factor ?. Find the nonzero value ? for which the expected number of probes in an unsuccessful search equals twice the expected number of probes in a successful search. Use the upper bounds given by Theorems 11.6 and 11.8 for these expected numbers of probes.

Theorems 11.6