
### Instruction: help me answer this question b = 3, c = 4, centre at the origin; foci on the x axis. 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 b = 3 and c = 4, a = 5. Using the formula a2 = b2 + c2, we get a2 = 25. Therefore, the equation of the ellipse is x2/25 + y2/9 = 1. , The answer is The equation of the ellipse is x2/25 + y2/9 = 1.
