Question

What is the solution set of (x-2)(x-3)=2?

Answer 1

I got {1,4}

Answer 2

you can always check by trying them out

they look right though

Answer 3

here is a good solution check
http://www.wolframalpha.com/input/?i=%28x-2%29%28x-3%29%3D2

you should see somewhere on the page something like this below.


\( \Large \color{royalblue}{\rm Solutions\\[0.5em]}\)
\(\large x=1\)

\(\large x=4\)