document.write( "Question 542236: Let $\"f%28x%29=x%5E2%2B12x%2Bc\"$ . For which value of c will f(x) have one distinct root? \n" ); document.write( "

Algebra.Com's Answer #356268 by mathie123(224) $\"\"$ $\"About$

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We know that if the discriminant $\"b%5E2-4ac\"$ is equal to zero, then the expression will only have one distinct root. \r
\n" ); document.write( "\n" ); document.write( "This means that
\n" ); document.write( " $\"12%5E2-4%281%29%28c%29=0\"$
\n" ); document.write( " $\"144-4c=0\"$
\n" ); document.write( " $\"144=4c\"$
\n" ); document.write( " $\"c=36\"$ \r
\n" ); document.write( "\n" ); document.write( "Therefore $\"c=36\"$ will ensure that f(x) has one distinct root.
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