document.write( "Question 1204654: For the ellipse, determine the
\n" ); document.write( "a) coordinates of the center
\n" ); document.write( "b) lengths of the major and minor axes
\n" ); document.write( "c) coordinates of the foci\r
\n" ); document.write( "\n" ); document.write( "9x^2 + 25y^2 - 9x - 50y - 197.75 = 0\r
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\n" ); document.write( "I did not get very far in this question. I was trying to first complete the square to factor into the standard form of the elliptical equation and move on from there.
\n" ); document.write( "9x^2 + 25y^2 - 9x - 50y - 197.75 = 0
\n" ); document.write( "9x^2 - 9x + 25y^2 - 50y = 197.75
\n" ); document.write( "9(x^2 - x) + 25(y^2 - 2y) = 197.75
\n" ); document.write( "9(x^2 - x + (1/4)) + 25(y^2 - 2y +1) = 197.75 + (1/4) + 1
\n" ); document.write( "9(x - (1/2))^2 + 25(y - 1)^2 = 199
\n" ); document.write( "I don’t know where to go from here because the numbers are troubling me
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Algebra.Com's Answer #841047 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "What's this?! A reader who actually showed in his post the work he has done on the problem??!! Amazing....

\n" ); document.write( "Thank you!

\n" ); document.write( "I see you know what you are doing, so I will just point out your error and let you continue working on the problem.

\n" ); document.write( "When you complete the square, you show, on the right side, adding (1/4) + 1.

\n" ); document.write( "What you should be adding is 9(1/4) + 25(1). That's a very common error, even with people experienced with the process of completing the square, if they aren't paying attention....

\n" ); document.write( "That will make the number on the right 225, which is 15^2, making it easy to finish the problem with \"nice\" numbers.

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