himpunan penyelesaian yang dapat memenuhi x2 + 4y2= 32 dan x+2y=0

System of Ellipse and Linear Equations.

x + 2y = 0 → x = -2y
x² + 4y² = 32
(-2y)² + 4y² - 32 = 0
8y² - 32 = 0
y² - 4 = 0
y² = 4 → y = 2 or y = -2

For y = -2
x = -2(-2) = 4
For y = 2
x = -2(2) = -4
HP = {(-4, 2), (4, -2)}
Answer: D.