Question

Given the following equation of the hyperbola, what are the x-values of the vertices? x^2/4 - y^2/49 = 1 is it 2 and -2?

Answer 1

yes, ±2

Explanation:

The x-intercepts are found by setting y=0 and solving for x:

x^2/4 = 1

x^2 = 4

x = ±√4

x = ±2

The x-values of interest are -2 and +2.