Chapter 9 Quadratic Relations and Conic Sections - 9.5 Graph and Write Equations of Hyperbolas - 9.5 Exercises - Quiz for Lessons 9.4-9.5 - Page 648: 1

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$$\frac{x^2}{25}+\frac{y^2}{4}=1$$ The major vertices are $(5,0)$ and $(-5,0)$ The co-vertices are $(0,2)$ and $(0,-2)$ Obtain: $c^2=a^2-b^2=5^2-2^2=21\\ \rightarrow c=\sqrt 21$ The foci are $(\sqrt 21,0)$ and $(-\sqrt 21,0)$