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# Find the equations of the hyperbola satisfying the given conditions: Foci: $(\pm 5, 0)$, Transverse Axis is of length $8$.

Toolbox:
Given Foci: $(\pm 5, 0)$, Transverse Axis is of length $8 \rightarrow 2a = 8 \rightarrow a = 4$ and $c = 5$
Since $a^2+b^2 = c^2 \rightarrow b = \sqrt{25-16} = \sqrt {9} = 3$
Therefore, the equation of the hyperbola is as follows: $\;\large\frac{x^2}{16}$$-\large\frac{y^2}{9}$$=1$