General Form to Standard Form, With Help
View the Lesson | MATHguide homepage Updated April 14th, 2017


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    9x2 + 64y2 - 54x + 640y + 1105 = 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 1:9x2 - 54x + 64y2 + 640y =  
Step 2: 9(x2 - 6x) + 64(y2 + y) =  
Step 3: 9(x2 - 6x + ) + 64(y2 + y + ) =  
+ 9()
+ 64()
 
Step 4: 9(x - )2 + 64(y + )2 =  
Step 5:
(x - )2  (y + )2
+
 
=