Equation of the hyperbola with eccentricty
and foci at (± 2, 0) is
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Foci = (±ae, 0) = (±2, 0)
So, after comparing the equations,
ae = 2


b2 = a2 (e2 - 1)


Equation of Hyperbola is 
Hence
is the required equation.
Couldn't generate an explanation.
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