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Find the equation of the hyperbola with ...

Find the equation of the hyperbola with
vertices (`pm`5,0) and foci (`pm`7,0)

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To find the equation of the hyperbola with vertices at \((\pm 5, 0)\) and foci at \((\pm 7, 0)\), we can follow these steps: ### Step 1: Identify the values of \(a\) and \(c\) The vertices of the hyperbola are given as \((\pm 5, 0)\). This means that the distance from the center to the vertices is \(a = 5\). The foci are given as \((\pm 7, 0)\). This means that the distance from the center to the foci is \(c = 7\). ### Step 2: Use the relationship between \(a\), \(b\), and \(c\) ...
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