y=-x^2+1 and y=x^2
When the two curves intersect their coordinates will be equal, so we can say y=y whenever a solution exists, so:
x^2=-x^2+1 add x^2 to both sides
2x^2=1 divide both sides by 2
x^2=1/2 take the square root of both sides
x=±√(1/2), so there are two solutions, we can use x^2 to find the corresponding y values.
y=x^2, y=1/2 in each instance, so the two point where the curves intersect are:
(-√(1/2), 1/2) and (√(1/2), 1/2) or if you want approximations....
(-0.7, 0.5) and (0.7, 0.5)
