Answer:
The solution set is {-5, 7}.
Step-by-step explanation:
z^2 – 2z – 35 = 0
We need two numbers whose sum is -2 and whose product is -35.
These are
-7 and + 5 so we can write the factors:
(z - 7)(z + 5) = 0
z - 7 = 0 gives z = 7.
z + 5 = 0 gives z = -5.
