<PRE><B>Question 1204149</B>
36x^2+25y^2+288x+200y+76=0 


complete the square for both x &amp; y

36x^2 +288x + -------  +25y^2+200y+_______ = -76

36x^2 +288x + 576  +25y^2+200y+ 400 = -76 +576+400


36x^2 +288x + 576  +25y^2+200y+ 400 = 900

36(x+4)^2+25(y+4)^2=900

divide by 900 

(x+4)^2/25  +(y+4)^2/36 =1



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