Answer:
D) (–1, 1)
Step-by-step explanation:
The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.
y = y
-x² +2 = x² +4x +4
2x² +4x +2 = 0 . . . . . . . . . add x² -2
2(x +1)² = 0 . . . . . . . . . factor
x = -1 . . . . . . . . . . one solution that makes the factors zero
y = -x² +2 = -(-1)² +2 = -1 +2 = 1
The only solution is (x, y) = (-1, 1).
