document.write( "Question 1192204: Determine the nature of the following degenerate conics\r
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Algebra.Com's Answer #824107 by ikleyn(52798) $\"\"$ $\"About$

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\n" ); document.write( "Determine the nature of the following degenerate conics\r
\n" ); document.write( "\n" ); document.write( "x^2 + xy - 2y^2 + 3x + 6y = 0.
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document.write( "You may check that\r\n" );
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document.write( "    x^2 + xy - 2y^2 + 3x + 6y =(x + 2y) (x - y + 3).    (1)\r\n" );
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document.write( "So this formula is factoring the given polynomial of two variables into the product of two linear polynomials.\r\n" );
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document.write( "Thus the given original equation describes the union of two straight lines.\r\n" );
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document.write( "One straight line is\r\n" );
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document.write( "    x + 2y = 0         (2)\r\n" );
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document.write( "  \r\n" );
document.write( "Other straight line is\r\n" );
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document.write( "    x - y + 3 = 0.     (3)\r\n" );
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