SOLUTION: Find the canonical equation of the hyperbola that has its Foci at (±3,0) and straight side |SS| = 5

Question 1194078: Find the canonical equation of the hyperbola that has its Foci at (±3,0) and straight side |SS| = 5

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Find the canonical equation of the hyperbola that has its Foci at (±3,0) and straight side |SS| = 5
given:
Foci at (±,) =>
=> Since, foci is on x-axis, equation of hyperbola is of the form

we know that
so far we have =>
if given straight side |SS| =, means the length of the latus rectum of the hyperbola is
so, .........solve for

go to =>, substitute
.......solve for

solutions:
=>
or

Since, a is distance, it cant be negative.
using positive solution. find

=>

and your equation is:

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