document.write( "Question 1197383: 9x^2+4y^2+36x-24y+36=0
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Algebra.Com's Answer #830629 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The same solution as shown by the other tutor... but I find her presentation of the process a bit messy.

\n" ); document.write( "\"9x%5E2%2B4y%5E2%2B36x-24y%2B36=0\"

\n" ); document.write( "Move the constant to the other side and complete the square in both x and y.

\n" ); document.write( "Be sure when completing the square that you add the same constants to both sides of the equation.

\n" ); document.write( "\"%289x%5E2%2B36x%29%2B%284y%5E2-24y%29=-36\"
\n" ); document.write( "\"9%28x%5E2%2B4x%29%2B4%28y%5E2-6y%29=-36\"
\n" ); document.write( "\"9%28x%5E2%2B4x%2B4%29%2B4%28y%5E2-6y%2B9%29=-36%2B9%284%29%2B4%289%29=-36%2B36%2B36\"
\n" ); document.write( "\"9%28x%2B2%29%5E2%2B4%28y-3%29%5E2=36\"

\n" ); document.write( "Put in standard form by dividing by the constant on the right, to make the right side equal to 1.

\n" ); document.write( "\"%28x%2B2%29%5E2%2F2%5E2%2B%28y-3%29%5E2%2F3%5E2=1\"

\n" ); document.write( "That is the standard form of an equation with center (-2,3), vertical semi-major axis of length 3, and horizontal semi-minor axis of length 2.

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