SOLUTION: Find the length of the major axis for the graph of 49x2 + 16y2 = 784

Get it in one of these forms, 

 if it is an ellipse that
looks like this:



or  if it is an ellipse that
looks like this:






Get a 1 on the right by dividing every term by 





Since the larger denominator is under , this
is an ellipse of the second type above:



So  and so 

The major axis has length 

so the answer to your problem is 



Its graph is:



Edwin