solve for y for x^2/4 + y^2/25 =1

Question

please solve for y for this ellipse problem!

Answer 1

x²/4 + y²/25 = 1

subtract x²/4 from both sides

y²/25 = -x²/4 + 1

y²/25 = -x²/4 + 4/4

y²/25 = (4-x²)/4

Multiply both sides by 25

y² = 25(4-x²)/4

y² = (100 - 25x²)/4

take square root of both sides

y = ±√[(100-25x²)/4]

y = ±(1/2)√(100-25x²)