SOLUTION: Find the standard form of the equation of the hyperbola satisfying the given conditions. ​x-intercepts (0,24) and (0,-24). foci at (-26,0) and (26,0) The equation in standa

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Question 1149989: Find the standard form of the equation of the hyperbola satisfying the given conditions.
​x-intercepts (0,24) and (0,-24). foci at (-26,0) and (26,0)
The equation in standard form of the hyperbola is..

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
given:
the hyperbola satisfying the given conditions
​x-intercepts (,) and (,) =>, these are
the hyperbola has a vertical transverse axis and its standard form of the equation is:

foci at (,) and (,)=>The center lies on the x-axis and center is at (,)
then, your formula is

The distance from the center point to one focus is called and can be found using this formula:
=> since




use y-intercept (,) and , plug in


.......solve for





find :


and, your formula is:



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