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( "

Algebra.Com's Answer #539217 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x=%287%2B-+sqrt%2849-4%2Ac%29%29%2F2\"$ , according to general formula, if the quadratic polynomial equals 0.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%287%2Bsqrt%2849-4c%29%29%2F2-%287-sqrt%2849-4c%29%29%2F2=1\"$ , initially expecting c>0 and the minus root is less than the plus root.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%287%2Bsqrt%2849-4c%29%29-%287-sqrt%2849-4c%29%29=2\"$
\n" ); document.write( " $\"7%2Bsqrt%2849-4c%29-7%2Bsqrt%2849-4c%29=2\"$
\n" ); document.write( " $\"2%2Asqrt%2849-4c%29=2\"$
\n" ); document.write( " $\"sqrt%2849-4c%29=1\"$
\n" ); document.write( " $\"49-4c=1\"$ , after squaring both sides
\n" ); document.write( " $\"49=1%2B4c\"$
\n" ); document.write( " $\"4c=49-1\"$
\n" ); document.write( " $\"4c=48\"$
\n" ); document.write( " $\"highlight%28c=12%29\"$ \n" ); document.write( "

\n" );