document.write( "Question 699338: I am unsure on how to solve a problem such as:\r
\n" ); document.write( "\n" ); document.write( "\"+3x%5E2%2B7y%5E2-12x-28y=+-19+\"\r
\n" ); document.write( "\n" ); document.write( "if possible can you help me solve this problem as well as explain how to solve others similar to it?\r
\n" ); document.write( "\n" ); document.write( "Thank you \n" ); document.write( "
Algebra.Com's Answer #431324 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "3x^2+7y^2-12x-28y = -19
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\n" ); document.write( "Rearrange:
\n" ); document.write( "3x^2-12x+? +7y^2-28y+? = -19
\n" ); document.write( "----
\n" ); document.write( "Complete the square on the \"x\" and on the \"y\" terms:
\n" ); document.write( "3(x^2-4x+4) + 7(y^2-4y+4) = -19 + 3*4+7*4
\n" ); document.write( "-------------------------------
\n" ); document.write( "Factor:
\n" ); document.write( "3(x-2)^2 + 7(y-2)^2 = 21
\n" ); document.write( "----
\n" ); document.write( "Standardize:
\n" ); document.write( "(3/21)(x-2)^2 + (7/21)(y-2)^2 = 1
\n" ); document.write( "(x-2)^2/7 + (y-2)/3 = 1
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\n" ); document.write( "This is an ellipse with center at (2,2),
\n" ); document.write( "semi-major axis: sqrt(7)
\n" ); document.write( "semi-minor axis: sqrt(3)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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