Find an equation for the hyperbola that satisfies the given

Find an equation for the hyperbola that satisfies the given conditions.

Foci: (±5, 0), vertices: (±3, 0)

Solution

focii=(+-5,0)   vertices=(+-3,0)

focii=(h+-c,k) and vertices=(h+-a,k)

here h and k=0

Therefore c=5 and a=3

c^2=a^2 + b^2

25=9 + b^2

b=4

required equation is

x^2/ 3^2 - y^2/4^2=1

x^2/9 - y^2/16=1

Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), vertices: (±3, 0)Solutionfocii=(+-5,0) vertices=(+-3,0) focii=(h+-c,k) an

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