
### Instruction: help me answer this question Foci (±3, 0), a = 4. What is the equation of the ellipse?, think step by step
### Assistant: The foci are on the x-axis, so the major axis is along the x-axis. The equation of the ellipse will be of the form x2/a2 + y2/b2 = 1. Since the foci are (±3, 0), c = 3 and a = 4. Using the formula a2 = b2 + c2, we get b2 = 7. Therefore, the equation of the ellipse is x2/16 + y2/7 = 1. , The answer is The equation of the ellipse is x2/16 + y2/7 = 1.
