Answer:
The points of intersection lie at (1.5, 4) and (-4, 15)
Step-by-step explanation:
Our first step is to equate the two formulas to find where their x-values are the same
-2x + 7 = 2x² + 3x -5 move everything to one side to equate to 0
0 = 2x² + 5x - 12 Use the quadratic formula to solve for x
0 = (-5 ± √(5² - 4(2 * -12))) / 2(2)
0 = (-5 ± 11) / 4
x = 1.5, x = -4
test both x values into both equations
(1.5, 4) (-4, 15)
