General Form to Standard Form, With Help
View the Lesson | MATHguide homepage Updated July 28th, 2015


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    64x2 + 49y2 - 128x + 294y - 2631 = 0 is the general form of an ellipse. Write the equation of this conic section in standard form by filling in the appropriate values for each open response.

Step 1:64x2 - 128x + 49y2 + 294y =  
Step 2: 64(x2 - 2x) + 49(y2 + y) =  
Step 3: 64(x2 - 2x + ) + 49(y2 + y + ) =  
+ 64()
+ 49()
 
Step 4: 64(x - )2 + 49(y + )2 =  
Step 5:
(x - )2  (y + )2
+
 
=