The equation of a hyperbola with a horizontal transverse axis is given by
(x - h)^2 / a^2 - (y - k)^2 / b^2 = 1,
where (h, k) is the center of the hyperbola, and a^2 = c^2 + b^2.
Since a = 7 and c = 9, we can find b^2:
a^2 = c^2 + b^2
7^2 = 9^2 + b^2
49 - 81 = b^2
b^2 = -32
Since b^2 is negative, there is no real solution for b. Therefore, there is no hyperbola with the given values of a and c.
What is the equation of a hyperbola with a = 7 and c = 9? Assume that the transverse axis is horizontal
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