Question

Ng the Zero Product Property

Warm-Up
Which are solutions of the equation (x + 5)(x-3) = 0?

Answer 1

For this case we have a factorized quadratic equation. We equal each factor to zero and thus find the roots:

`x + 5 = 0`

Subtracting 5 from both sides we have:

`x = -5`

Thus, the first solution of the equation is:

`x_ {1} = - 5`

On the other hand we have:

`x-3 = 0`

Adding 3 to both sides:

`x = 3`

Thus, the second solution of the equation is:

`x_ {2} = 3`

Answer:

The solutions of the equation are:

`x_ {1} = - 5\\x_ {2} = 3`