document.write( "Question 146643: hello && greetings please help !!\r
\n" ); document.write( "\n" ); document.write( "Which conic section is represented by the equation \"4x%5E2-4xy%2By%5E2%2B4x-2y%2B1=0\" ????\r
\n" ); document.write( "\n" ); document.write( "A. ELLIPSE
\n" ); document.write( "B. 2 LINES
\n" ); document.write( "C. HYPERBOLA
\n" ); document.write( "D. 1 LINE
\n" ); document.write( "E. NONE OF THESE \n" ); document.write( "
Algebra.Com's Answer #107144 by Edwin McCravy(20059)\"\" \"About 
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hello && greetings please help !!\r
\n" ); document.write( "\n" ); document.write( "Which conic section is represented by the equation \"4x%5E2-4xy%2By%5E2%2B4x-2y%2B1=0\" ????\r
\n" ); document.write( "\n" ); document.write( "A. ELLIPSE
\n" ); document.write( "B. 2 LINES
\n" ); document.write( "C. HYPERBOLA
\n" ); document.write( "D. 1 LINE
\n" ); document.write( "E. NONE OF THESE
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document.write( "\"4x%5E2-4xy%2By%5E2%2B4x-2y%2B1=0\" \r\n" );
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document.write( "Group the first three terms and\r\n" );
document.write( "group the fourth and fifth terms:\r\n" );
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document.write( "\"%284x%5E2-4xy%2By%5E2%29%2B%284x-2y%29%2B1=0\"\r\n" );
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document.write( "Factor the trinomial in the first parentheses\r\n" );
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document.write( "\"%282x-y%29%282x-y%29%2B%284x-2y%29%2B1=0\"\r\n" );
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document.write( "Write \"%282x-y%29%282x-y%29\" as \"%282x-y%29%5E2\"\r\n" );
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document.write( "\"%282x-y%29%5E2%2B%284x-2y%29%2B1=0\"\r\n" );
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document.write( "Factor 2 out of the second parentheses:\r\n" );
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document.write( "\"%282x-y%29%5E2%2B2%282x-y%29%2B1=0\"\r\n" );
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document.write( "Let \"z=%282x-y%29\"\r\n" );
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document.write( "\"z%5E2%2B2z%2B1=0\"\r\n" );
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document.write( "Factor that as\r\n" );
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document.write( "\"%28z%2B1%29%28z%2B1%29=0\"\r\n" );
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document.write( "\"%28z%2B1%29%5E2=0\"\r\n" );
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document.write( "Use the square root principle:\r\n" );
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document.write( "\"sqrt%28%28z%2B1%29%5E2%29\"=±\"sqrt%280%29\"\r\n" );
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document.write( "\"z%2B1=0\"\r\n" );
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document.write( "Since \"z=2x-y\", replace \"z\" by \"2x-y\"\r\n" );
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document.write( "\"2x-y%2B1=0\"\r\n" );
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document.write( "This the equation of one line:\r\n" );
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document.write( "So the correct choice is D\r\n" );
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document.write( "Edwin
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