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


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    9x2 + 4y2 - 36x + 40y + 100 = 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 - 36x + 4y2 + 40y =  
Step 2: 9(x2 - 4x) + 4(y2 + y) =  
Step 3: 9(x2 - 4x + ) + 4(y2 + y + ) =  
+ 9()
+ 4()
 
Step 4: 9(x - )2 + 4(y + )2 =  
Step 5:
(x - )2  (y + )2
+
 
=