Find the equation of the hyperbola satisfying the give conditions: Vertices (±7, 0),

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Solution

Vertices (±7, 0),

Here, the vertices are on the x-axis.

Therefore, the equation of the hyperbola is of the form.

Since the vertices are (±7, 0), a = 7.

It is given that

We know that a² + b² = c².

Thus, the equation of the hyperbola is.

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