SOLUTION: Standard form for 2x^2-4y^2+8x-24y-40=0

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Question 627828: Standard form for 2x^2-4y^2+8x-24y-40=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Standard form for:
2x^2-4y^2+8x-24y-40=0
complete the square
2x^2+8x-4y^2-24y-40=0
2(x^2+4x+4)-4(y^2+6y+9)=40+8-36
2(x+2)^2-4(y+3)^2=12
%28x%2B2%29%5E2%2F6-%28y%2B3%29%5E2%2F3=1
This is an equation of a hyperbola with horizontal transverse axis.
It standard form: %28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1 (h,k)=(x,y) coordinates of center
center: (-2,-3)