document.write( "Question 585018: c) Calculate the value of if the difference between the roots of x^2-6x+k=0
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Algebra.Com's Answer #373029 by jim_thompson5910(35256)\"\" \"About 
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p-q = 3\r
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\n" ); document.write( "\n" ); document.write( "(x-p)(x-q)\r
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\n" ); document.write( "\n" ); document.write( "x^2-xp-xq+pq\r
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\n" ); document.write( "\n" ); document.write( "x^2-(p+q)x+pq\r
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\n" ); document.write( "\n" ); document.write( "-(p+q)=-6\r
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\n" ); document.write( "\n" ); document.write( "p+q=6\r
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\n" ); document.write( "\n" ); document.write( "2p=9\r
\n" ); document.write( "\n" ); document.write( "p = 9/2\r
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\n" ); document.write( "\n" ); document.write( "p+q = 6\r
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\n" ); document.write( "\n" ); document.write( "9/2+q = 6\r
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\n" ); document.write( "\n" ); document.write( "q = 6-9/2\r
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\n" ); document.write( "\n" ); document.write( "q = 3/2\r
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\n" ); document.write( "\n" ); document.write( "(x-p)(x-q)\r
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\n" ); document.write( "\n" ); document.write( "x^2-xp-xq+pq\r
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\n" ); document.write( "\n" ); document.write( "x^2-(p+q)x+pq\r
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\n" ); document.write( "\n" ); document.write( "x^2-(9/2+3/2)x+(9/2)(3/2)\r
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\n" ); document.write( "\n" ); document.write( "x^2-6x+27/4\r
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\n" ); document.write( "\n" ); document.write( "So the value of 'k' is \"k=27%2F4\"\r
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