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


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    16x2 + 25y2 - 96x + 150y - 31 = 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 1:16x2 - 96x + 25y2 + 150y =  
Step 2: 16(x2 - 6x) + 25(y2 + y) =  
Step 3: 16(x2 - 6x + ) + 25(y2 + y + ) =  
+ 16()
+ 25()
 
Step 4: 16(x - )2 + 25(y + )2 =  
Step 5:
(x - )2  (y + )2
+
 
=