Find the equation of the hyperbola, referred to its principal axes of coordinates, in the following cases: `V e r t i c e sa t(+-5,0),Foc ia t(+-7,0)`

Explanation

Vertices(±5,0)Foci(±7,0)

a=`+-5` and ae=`+-7`
And e=`7/5`
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We know `e=sqrt(1+(b^2)/(a^2)`
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On squaring both sides we get:
`e^2=1+(b^2)/(a^2)`
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Or `49/25​=1+(b^2)/25`
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