document.write( "Question 1204202: 36x^2+25y^2-288x+200y+76=0 is the equation of a conic. Write the standard form of that conic. \n" ); document.write( "

Algebra.Com's Answer #840298 by mananth(16946) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "36x^2+25y^2-288x+200y+76=0 is the equation of a conic. Write the standard form of that conic.\r
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\n" ); document.write( "\n" ); document.write( "36x^2 -288x +25y^2+200y =-76\r
\n" ); document.write( "\n" ); document.write( "(36x^2 -288x + _____) + (25y^2+200y +______) =-76\r
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\n" ); document.write( "\n" ); document.write( "36(x^2-8x+____) +(25(y^2+8y+______) =-76\r
\n" ); document.write( "\n" ); document.write( "Find 3rd term\r
\n" ); document.write( "\n" ); document.write( "36(x^2-8x+16) +25(y^2+8y+16) =-76+ +576+400\r
\n" ); document.write( "\n" ); document.write( "Factorise\r
\n" ); document.write( "\n" ); document.write( "36(x-4)^2+25(y+4)^2 = 900\r
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\n" ); document.write( "\n" ); document.write( "divide by 900\r
\n" ); document.write( "\n" ); document.write( " $\"%28x-4%29%5E2%2F25+%2B+%28y%2B4%29%5E2%2F36+=+1\"$ required equation\r
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