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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document.write( " is 3.
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Algebra.Com's Answer #373029 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! p-q = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x-p)(x-q)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-xp-xq+pq\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-(p+q)x+pq\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-(p+q)=-6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p+q=6\r \n" ); document.write( "\n" ); document.write( "p-q=3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2p=9\r \n" ); document.write( "\n" ); document.write( "p = 9/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p+q = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9/2+q = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "q = 6-9/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "q = 3/2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x-p)(x-q)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-xp-xq+pq\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-(p+q)x+pq\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-(9/2+3/2)x+(9/2)(3/2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-6x+27/4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the value of 'k' is \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |