We want to solve
-x² + 4 = x + 2
Create two curves as follows:
y = -x² +4
and
y = x + 2
By graphing the two curves together, their points of intersection are the solutions.
y = -x² + 4 is a parabola with vertex at (0, 4), and it opens downward.
y = x + 2 is a straight line with slope - 1 and with y-intercept = 2
The points of intersection are (-2, 0) and (1, 3).
Answer:
The solutions are (-2, 0) and (1, 3).
