Question

A hyperbola has vertices (±5, 0) and one focus (6, 0). what is the standard-form equation of the hyperbola?

Answer 1

x²/25 - y²/11 = 1

Step-by-step explanation:

The standard form equation of the hyperbola:

x² / a² - y² / b² = 1

a = 5,

a² = 25

c = 6

c² = a² + b²

36 = 25 + b²

b² = 36 - 25

b² = 11