document.write( "Question 890743: pls help me to answer: the roots of quadratic equation x^2-7x+c differ by 1. find c. \n" ); document.write( "
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\n" ); document.write( "pls help me to answer: the roots of quadratic equation x^2-7x+c differ by 1. find c.
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\n" ); document.write( "Let larger root be L
\n" ); document.write( "Then smaller root = L - 1
\n" ); document.write( "Sum of roots = L + L - 1, or 2L - 1
\n" ); document.write( "Also, sum of roots = \"-+b%2Fa\", or \"%28-+-+7%29%2F1\", or 7
\n" ); document.write( "Therefore, 2L - 1 = 7
\n" ); document.write( "2L = 8
\n" ); document.write( "L, or larger root = \"8%2F2\", or 4
\n" ); document.write( "Smaller root = 4 - 1, or 3\r
\n" ); document.write( "\n" ); document.write( "Product of roots = 4(3), or 12
\n" ); document.write( "Also, product of roots = \"c%2Fa%29%0D%0ATherefore%2C+%7B%7B%7Bc%2Fa+=+12\", or \"c%2F1+=+12\"_______\"highlight_green%28highlight_green%28c+=+12%29%29\" \n" ); document.write( "
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