Find all of the points at which the parabolas below intersect. Write your solution(s) in (x, y) form. Homework Help ✎
y = x2 − x + 12
y = 2x2 + 3x + 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.