General Form to Standard Form, With Help
View the Lesson | MATHguide homepage Updated June 18th, 2023


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    36x2 + 81y2 - 144x + 324y - 2448 = 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 1:36x2 - 144x + 81y2 + 324y =  
Step 2: 36(x2 - 4x) + 81(y2 + y) =  
Step 3: 36(x2 - 4x + ) + 81(y2 + y + ) =  
+ 36()
+ 81()
 
Step 4: 36(x - )2 + 81(y + )2 =  
Step 5:
(x - )2  (y + )2
+
 
=