Question

Help! How do i find a solution set? (I have a texas ti graphing calculator if that helps) An example is

(x - a)(x + b) = 0

How would I find the solution set for this?

Please explain to me in an easy to understand, step by step way.

If you know how to use a texas TI calculator, you can also explain to me how to do it on the calculator, but that is not required

Answer 1

The solution set is given by {a, -b}.

Explanation:

We have the equation,

`(x - a)(x + b) = 0`

Equating the factors to 0 gives,

`(x - a)=0` and
`(x + b)=0`

i.e. x = a and x = -b

So, the solutions of the equation
`(x - a)(x + b) = 0` are x= a and x= -b.

Thus, the solution set is given by {a, -b}.