Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Vertices: (±7,0); Foci: (±5,0)

Question

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.

Vertices: (±7,0); Foci: (±5,0)

Answer 1

a = 7; c = 5; b² = 49 - 25 = 24. Center ((-5 + 5)/2, 0) = (0, 0).

Equation: x²/49 + y²/24 = 1