### Home > AC > Chapter 12 > Lesson 12.4.1 > Problem12-71

12-71.

Find all of the points at which the parabolas below intersect. Write your solution(s) in $\left(x,y\right)$ form.

$y=x^2-x+12$
$y=2x^2+3x+7$

Use the Equal Values method found in Lesson 6.1.3.

$(1,12)$ and $(−5,42)$

Use the eTool below to help explore the parabolas below.
Click on the link at right for the full eTool version: 12-71 HW eTool (Desmos)