### Home > AC > 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.

*x*² − *x* + 12 = 2*x*² + 3*x* + 7

Set the equation equal to zero.

0 = *x*² + 4*x* − 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.