Question 812879
Center (1, -2) , transverse axis parallel to the x-axis, Transverse axis = 6, conjugate axis = 10. Find the equation of the hyperbola. 
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Standard form of equation for a hyperbola with horizontal transverse axis:
{{{(x-h)^2/a^2-(y-k)^2/b^2=1}}}, (h,k)=(x,y)coordinates of center
center:(1,-2) (given)
tranverse axis=6=2a
a=3
a^2=9
conjugate axis=10=2b
b=5
b^2=25
equation:
{{{(x-1)^2/9-(y+2)^2/25=1}}}