he quadratic x^2-3x+9=x+41 has two solutions. What is the positive difference between these solutions?

Let's factor these out!

x^2-4x-32=0

=(x-8)(x+4)

So, the solutions are x=8 and x=-4.

The difference between these solutions is 12.

So, our answer is 12.

thank you for it! :)