document.write( "Question 252307: Determine the missing term for this quadratic equation so that it will have only
\n" ); document.write( "one solution.\r
\n" ); document.write( "\n" ); document.write( "9x^2 − 24x + ? = 0 \n" ); document.write( "

Algebra.Com's Answer #184156 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
In order to solve this, we need the quadratic equation which is $\"-b%2B-sqrt%28b%5E2-4ac%29\"$ / $\"2a\"$ .\r
\n" ); document.write( "\n" ); document.write( "step 1 - substitute what you know - -> (24 +- sqrt(24^2-4*9*?))/2(9)\r
\n" ); document.write( "\n" ); document.write( "we want only one solution, so the stuff under the sqrt, also called discriminant, must = 0.\r
\n" ); document.write( "\n" ); document.write( "step 2 -> 576 - 36? > = 0\r
\n" ); document.write( "\n" ); document.write( "solving for ? we get ? <= 16.\r
\n" ); document.write( "\n" ); document.write( "If ? = 16, our original equation is $\"9X%5E2+-+24X+%2B+16\"$ \r
\n" ); document.write( "\n" ); document.write( "which factors into $\"%283x-4%29%5E2\"$ . This is only one solution. \n" ); document.write( "

\n" );