Finding the equation and solution of the given.

Question

Length of the major axis is 10, the foci are on the x-axis, the ellipse passes through the point ( √5, 2).

Answer 1

2a = 10; a = 5; x²/5² + y²/b² = 1; 1/5 + 4/b² = 1; b² = 5.

Equation of ellipse: x²/25 + y²/5 = 1.