SOLUTION: The equation 8x^2+5x-7y^2-2y=64-y^2 is a- circle, ellipse, hyperbola, parabola or line.

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Question 792269: The equation 8x^2+5x-7y^2-2y=64-y^2 is a- circle, ellipse, hyperbola, parabola or line.
Answer by lwsshak3(11628) About Me  (Show Source):
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The equation 8x^2+5x-7y^2-2y=64-y^2 is a- circle, ellipse, hyperbola, parabola or line.
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8x^2+5x-7y^2-2y=64-y^2
8x^2+5x-6y^2-2y=64
complete the square:
8(x^2+5x/8+25/16)-6(y^2+2y/6+1/9)=64+25/2-2/3
8(x+5/4^2)-6(y+1/3)^2=64+25/2-2/3=384/6+75/6-9/6=450/6
8(x+5/4^2)-6(y+1/3)^2=450/6
This is an equation of a hyperbola
Standard form of equation for a hyperbola with horizontal transverse axis:
%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, (h,k)=(x,y) coordinates of center