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

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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(52800)   (Show Source): You can put this solution on YOUR website!
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Identify the conic section in 4x2+4y2+40x+16y+40=0 in standard form
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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
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