document.write( "Question 1151314: If r and a represent the solutions of the equation (3k + 14) * k = 5 and r > s, what is the value of the difference of r - s? \n" ); document.write( "
Algebra.Com's Answer #773031 by ikleyn(52778)\"\" \"About 
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document.write( "Do you know the quadratic formula ?\r\n" );
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document.write( "It has the form       r,s = \"%28-b+%2B-+something%29%2F%282a%29\",\r\n" );
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document.write( "where b is the coefficient at \"k\" and \"a\" is the coefficient at \"k^2\" in the standard form equation.\r\n" );
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document.write( "When you subtract  r-s, you will get this \"something\", divided by \"a\".\r\n" );
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document.write( "Now, the standard form of the equation is\r\n" );
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document.write( "    3k^2 + 14k - 5 = 0.\r\n" );
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document.write( "The \"something\" is the square root of the discriminant  \"sqrt%28b%5E2+-+4ac%29\" = \"sqrt%2814%5E2+-+4%2A3%2A%28-5%29%29\" = \"sqrt%28256%29\" = 16.\r\n" );
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document.write( "The \"a\" is 3.\r\n" );
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document.write( "Therefore, the answer is  \"16%2F3\".\r\n" );
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document.write( "ANSWER.  The difference r - s = \"16%2F3\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "On quadratic formula, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction into Quadratic Equations\r
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