Math Help - conic and circle

1. conic and circle

Show that the equation 33y^2+31x^2+131=8x-2x^2-132y
represents a circle by rearranging it into the centre-radius form of the equation of a circle. State the coordinates of the centre and the radius of the circle.

Can someone kindly write step by step? Thank you so much!!

2. Originally Posted by inhae772
Show that the equation 33y^2+31x^2+131=8x-2x^2-132y
represents a circle by rearranging it into the centre-radius form of the equation of a circle. State the coordinates of the centre and the radius of the circle.

Can someone kindly write step by step? Thank you so much!!
The coefficients of y^2 and x^2 are not equal. Therefore the equation does not define a circle, it defines an ellipse. Are the coefficients meant to be unequal?