Answer
$\frac{x^2}{49}+\frac{y^2}{24}=1$
Work Step by Step
Major axis is horizontal.
$(±5,0)=(±c,0)$
$c=5$
$2a=14$
$a=7$
$a^2=b^2+c^2$
$b^2=7^2-5^2=49-25=24$
$b=2\sqrt {6}$
Standard form when major axis is horizontal:
$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$
$\frac{x^2}{7^2}+\frac{y^2}{(2\sqrt {6})^2}=1$
$\frac{x^2}{49}+\frac{y^2}{24}=1$
