SOLUTION: The asymptotes of a hyperbola are y=2x and y=-2x. If the hyperbola passes through the point (9, 16), find the x-intercepts of the hyperbola.

Question 1065505: The asymptotes of a hyperbola are y=2x and y=-2x. If the hyperbola passes through the point (9, 16), find the x-intercepts of the hyperbola.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
A hyperbola that has x-intercepts has an equation of the form
, and its asymptotes are
and ,
so for this problem
<---> .
That makes the equation
so far.
To find the value for ,
we substitute ,
the coordinates of point (9,16) .

Multiplying both sides of the equal sign times ,
we get

So, the equation we were looking for is
.
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