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What is the equation of a hyperbola with a = 9 and c = 12? Assume that the transverse axis is horizontal

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Given a and c, we solve for b by using the formula:
c² = a² + b²
12² = 9² + b²
b = 3√7

The standard equation for a hyperbola with a horizontal transverse axis is
(x-h)²/a² - (y-k)²/b² = 1, where (h,k) is the center.

Assuming that center is (0,0), the equation of the hyperbola will be:

x²/9² - y²/(3√7)² = 1 or
x²/81 - y²/63 = 1

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