document.write( "Question 1203033: A field has an area of x^2 + x-6. State the expressions for its length and width.
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Algebra.Com's Answer #838264 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "A field has an area of x^2 + x-6. State the expressions for its length and width.
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\n" ); document.write( "\n" ); document.write( " The problem formulation is not precisely correct, \r
\n" ); document.write( "\n" ); document.write( " because there are infinitely many answers - - - much more answers than one.\r
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document.write( "One possible answer is  x^2 + x - 6 = (x^2 + x - 6)*1, giving the dimensions\r\n" );
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document.write( "    (x^2 + x - 6)  and 1 (one unit)\r\n" );
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document.write( "that are valid when the quadratic is positive (x > 2 or x < -3).\r\n" );
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document.write( "Another possible decomposition/factoring is  x^2 + x - 6 = (x+3)*(x-2), \r\n" );
document.write( "which gives the dimensions (x+3) and (x-2) linear units with x > 2.\r\n" );
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document.write( "Third possible decomposition/factoring is  x^2 + x - 6 = , \r\n" );
document.write( "which gives the dimensions a*(x+3) and  linear units with x > 2 \r\n" );
document.write( "and any real number \"a\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, with explanations.\r
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\n" ); document.write( "\n" ); document.write( "The error in the problem formulation is TYPICAL for such problems,
\n" ); document.write( "made by unexperienced Math problems composers, or those who copy-paste from other sources
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\n" ); document.write( "\n" ); document.write( "I saw such errors many times (more than I can count :).\r
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