Question

X^2 - 9x - 36 = 0Use zero product property. Solve for x

Answer 1

Given the Quadratic Equation:

`x^2-9x-36=0`

You need to remember that the Zero Product Property states that if:

`ab=0`

Then:

`a=0\text{ }or\text{ }b=0`

In this case, you can factor the given equation by finding two numbers whose sum is -9 and whose product is -36. These numbers are 3 and -12. Then:

`(x+3)(x-12)=0`

Based on the Zero Product Property, you know that:

`(x+3)=0\text{ }or\text{ }(x-12)=0`

Then, by solving each part by "x", you get:

`x=-3\text{ }or\text{ }x=12`

Hence, the answer is:

`x=-3\text{ }or\text{ }x=12`