SOLUTION: Identify the conic section in 4x2+4y2+40x+16y+40=0 in standard form

Click here to see ALL problems on Quadratic-relations-and-conic-sections

Question 1092271: Identify the conic section in 4x2+4y2+40x+16y+40=0 in standard form

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52798) (Show Source):
You can put this solution on YOUR website!
.
Identify the conic section in 4x2+4y2+40x+16y+40=0 in standard form
~~~~~~~~~~~~~~~~

Use the standard method of completing the squares applied to each group of x- and y-terms separately.

= ====> = ====> + = + = + = + = 76 ====> + = 19. It is the standard equation of the circle of the radius centered at (-5,-2).

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

Identify the conic section in 4x2+4y2+40x+16y+40=0 in standard form

---- Reducing equation
------- Equation in reduced form
Same coefficient and same sign on , so the equation is that of a