document.write( "Question 119661: What is the value of k if one root of (3k+1)x^2-2kx=-5 is 1? \n" ); document.write( "
Algebra.Com's Answer #87685 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
If 1 is a root, then \"f%281%29=0\". \r
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\n" ); document.write( "\n" ); document.write( "\"%283k%2B1%29x%5E2-2kx=-5\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"%283k%2B1%29x%5E2-2kx%2B5=0\" Add 5 to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"%283k%2B1%29%281%29%5E2-2k%281%29%2B5=0\" Plug in \"x=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"3k%2B1-2k%2B5=0\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"k%2B6=0\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"k=-6\"Subtract 6 from both sides\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"k=-6\"
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