Question

Solve z2 – 2z – 35 = 0 using the zero product property.

Answer 1

The solution set is {-5, 7}.

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.

Answer 2

I hope this helps you