Posted by joey on Thursday, February 9, 2012 at 9:40pm.
fin the center ,principal axis vertices, sketch the graph of 4x^y^2 +56 x +2y+195=0

analytic geometry  Reiny, Thursday, February 9, 2012 at 11:15pm
let's complete the square ...
4x^2 + 56x  (y^2  2y ) = 195
4(x^2 + 14x + 49)  (y^2  2y + 1) = 195 + 4(49)  1
4(x+7)^2  (y1)^2 = 0
ahh, we have a degenerated hyperbola
the hyperbola has degenerated into its asymtotes
notice we have a difference of squares = 0
so
2(x+7) + (y1) = 0 or 2(x+7)  (y1) = 0
2x + 14 + y  1 = 0 or 2x + 14  y + 1 = 0
2x + y = 13 or 2x  y = 15
the "centre" would be the intersection of the two lines.
Answer This Question
Related Questions
 Analytic Geometry  find the coordinates of the foci, the ends of the major and ...
 Analytic Geometry  x^2y^26x+8y3=0 Find the center vertices, foci, and ...
 Analytic Geometry  Find the coordinates of the foci, the ends of major and ...
 Analytic Geometry  Find the standard and general equation of a parabola with a ...
 (Please Help!) Analytic Geometry  Find the equation of the parabola with ...
 Please Help ! Analytic Geometry  Find the equation of the parabola with ...
 Math  Find the vertices, center, asymptotes, and foci of the ellipse and sketch...
 analytic geometry  Find the equation of the hyperbola. Transverse axis parallel...
 Precalculus  For the ellipse with equation 5x^2+64y^2+30x+128y211=0, find the...
 Analytic Geometry  What are the equations of the circles tangent to the xaxis...
More Related Questions