document.write( "Question 738317: Simplify the hyperbola 36x^2-4y^2+216x-40y+80 \n" ); document.write( "

Algebra.Com's Answer #450767 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"36x%5E2-4y%5E2%2B216x-40y%2B80=0\"$ \r
\n" ); document.write( "\n" ); document.write( " first complete the square :\r
\n" ); document.write( "\n" ); document.write( " $\"36x%5E2-4y%5E2%2B216x-40y%2B80+=+0\"$ ...group like terms\r
\n" ); document.write( "\n" ); document.write( " $\"%2836x%5E2%2B216x%29-%284y%5E2%2B40y%29%2B80+=+0\"$ ...factor\r
\n" ); document.write( "\n" ); document.write( " $\"36%28x%5E2%2B6x%29-4%28y%5E2%2B10y%29%2B80+=+0\"$ .....complete the square \r
\n" ); document.write( "\n" ); document.write( " $\"36%28x%5E2+%2B+6x+%2B+____%29+-+4%28y%5E2+%2B+10y+%2B+____%29+=+-80\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"36%28x%5E2+%2B+6x+%2B+9%29+-324-+4%28y%5E2+%2B10y+%2B+25%29-%28-4%2A25%29+=+-80\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"36%28x%5E2+%2B+6x+%2B+9%29+-324-+4%28y%5E2+%2B10y+%2B+25%29%2B100+=+-80\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"36%28x%5E2+%2B+6x+%2B+9%29+-+4%28y%5E2+%2B10y+%2B+25%29+=+-80%2B324-100\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"36%28x%5E2+%2B+6x+%2B+9%29+-+4%28y%5E2+%2B10y+%2B+25%29+=+144\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"36+%28x%2B3%29%5E2-4+%28y%2B5%29%5E2-144=0\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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