document.write( "Question 252122: Find the value of the constant c , if the difference of the roots of x^2-11x+c = 0
\n" ); document.write( "is 3
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Algebra.Com's Answer #183899 by vksarvepalli(154)\"\" \"About 
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x^2-11x+c = 0 let a,b be the roots of this equation.\r
\n" ); document.write( "\n" ); document.write( "sum of the roots is (a+b)=11
\n" ); document.write( "product of the roots ab = c\r
\n" ); document.write( "\n" ); document.write( "now given (a-b)=3\r
\n" ); document.write( "\n" ); document.write( "(a-b)^2=(a+b)^2-4ab\r
\n" ); document.write( "\n" ); document.write( "-> 9 = 121-4c
\n" ); document.write( "=> 4c = 112
\n" ); document.write( "=> c=28\r
\n" ); document.write( "\n" ); document.write( "ans. c=28
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