SOLUTION: Write the equation of the hyperbola in standard form which has the following equation. {{{x^2-4x-y^2+6y=9}}}

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Question 625249: Write the equation of the hyperbola in standard form which has the following equation.
x%5E2-4x-y%5E2%2B6y=9
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the hyperbola in standard form which has the following equation:
x^2-4x-y^2+6y=9
complete the square
(x^2-4x+4)-(y^2-6y+9)=9+4-9
(x-2)^2-(y-3)^2=4
(x-2)^2/4-(y-3)^2/4=1
This is an equation of a hyperbola with horizontal transverse axis.
Its standard form: (x-h)^2/a^2-(y-k)^2/b^2=1 (h,k)=(x,y) coordinates of center.