Chapter 9 Quadratic Relations and Conic Sections - Mixed Review of Problem Solving - Lessons 9.1-9.4 - Page 641: 3c

See below

From part b, we found: $a=36.5\\c=7.5$ Find b: $c^2=a^2-b^2\\7.5^2=36.5^2-b^2\\b^2=36.5^2=7.5^2=1276$ Obtain: $\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\\\frac{(x-0)^2}{36.5^2}+\frac{(y-0)^2}{1276}=1\\\frac{x^2}{1332}+\frac{y^2}{1276}=1$