<PRE><B>Question 1204202</B>


36x^2+25y^2-288x+200y+76=0 is the equation of a conic. Write the standard form of that conic.


36x^2 -288x +25y^2+200y =-76

(36x^2 -288x + _____)   +  (25y^2+200y +______) =-76


36(x^2-8x+____) +(25(y^2+8y+______) =-76

Find 3rd term

36(x^2-8x+16) +25(y^2+8y+16) =-76+ +576+400

Factorise

36(x-4)^2+25(y+4)^2 = 900


divide by 900

{{{(x-4)^2/25 + (y+4)^2/36 = 1}}} required equation


</PRE>