document.write( "Question 222372: Please help me solve this problem:
\n" ); document.write( "Find the value of k.
\n" ); document.write( " $\"6x%5E2%2Bkx-6=0\"$ ; one root is the negative reciprocal of the other.
\n" ); document.write( "Can I also ask for the solution?
\n" ); document.write( "Thank you very much. \n" ); document.write( "

Algebra.Com's Answer #166496 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "This has a \"surprise\" answer:\r\n" );
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document.write( "The solutions by the quadratic equation are:\r\n" );
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document.write( "So there are two solutions:\r\n" );
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document.write( "(-k + sqrt( k^2+144) )/12 and (-k - sqrt( k^2+144) )/12\r\n" );
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document.write( "Any number times its negative reciprocal must equal -1.\r\n" );
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document.write( "So we multiply these two roots and set the product \r\n" );
document.write( "equal to -1:\r\n" );
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document.write( "Multiply using \"FOIL\"\r\n" );
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document.write( "Since this comes out an identity, that means that\r\n" );
document.write( " can be any number whatsoever, and in every\r\n" );
document.write( "case one root will be the negative reciprocal of\r\n" );
document.write( "the other!\r\n" );
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document.write( "Edwin

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