The graphs of the equations y = x^2 and y = 3 x - 2 intersect in how many points?

Question

The graphs of the equations y = x^2 and  y = 3 x - 2 intersect in how many points?

calculusfunctions · Answer

First equate their right sides, then write the equation in the form$$ax ^{2}+bx +c =0$$Next find the value of the discriminant$$D =b ^{2}-4ac$$If D < 0, then there are no real roots and hence there is no intersection of their graphs.
If D = 0, then there is one real root and hence their graphs intersect in a single point.
If D > 0, then there are two distinct real roots and hence their graphs intersect at two different points.

anonymous · Answer

hmm

anonymous · Answer

I need to think on this. Can you post the answer, and I will look it over once I sleep. I think I'm confused :)

calculusfunctions · Answer

I'm teaching you but I won't do the work you. What is it that you don't understand?

anonymous · Answer

ok, no problem, will do work and come back later :)

anonymous · Answer

540am here XD

calculusfunctions · Answer

Just follow the steps I gave you. For example, first$$x ^{2}=3x -2$$Next$$x ^{2}-3x +2=0$$Now find the discriminant D and follow the instructions I gave you.

FYI it's 5:40 AM here in Toronto where I am as well. Where are you from?

anonymous · Answer

Washington DC

anonymous · Answer

thanks for the advice