### Home > CCA2 > Chapter 4 > Lesson 4.1.2 > Problem4-22

4-22.

Solve $(x−3)^2−2=x+1$ graphically. Is there more than one way to do this? Explain. 4-22 HW eTool (Desmos). Homework Help ✎

Graph $y=(x−3)^2−2$ and $y=x+1$.

What part of the points of intersection will make this equation true?
Are there any $y$-values in the original equation?

Another way to do this is to expand $(x−3)^2$ and reorganize the equation
so it is equal to $0$.

Now you can graph $y=x^2−7x+6$ and $y=0$. What part of the graph are
you looking at now?

Use the eTool below to solve the equation graphically.
Click the link at right for the full version of the eTool: CCA2 4-22 HW eTool