Question

How do I use a graphing calculator to solve `2x^2+2x=7x-2`?

Answer 1

In my TI-nspire calculator, I will graph the left side as one function, and the right side as another function.

Then, I access the Menu, Geometry, Points & Lines, Intersection Point(s):

I have to click on each function. The calculator places points at the intersection of the two graphs, and labels them with the ordered pairs!

Your alternative to this method would be to solve the entire equation to equal 0: `2x^2-5x+2=0` and graph just the left side (the quadratic). The calculator is also able to find "zeros" in several ways.