### Home > CAAC > Chapter 12 > Lesson 12.4.1 > Problem 12-71

12-71.

Find all of the points at which the parabolas below intersect. Write your solution(s) in (*x*, *y*) form. Homework Help ✎

*y* = *x*^{2} − *x* + 12

*y* = 2*x*^{2} + 3*x* + 7

Set the equations equal to each other.

x² - x + 12 = 2x² + 3x + 7

Set the equation equal to zero.

0 = x² + 4x − 5

Factor the expresion.

Solve for x.

Substitute your answer for x back into the equation and

solve for y to find the points of intersection.