document.write( "Question 1163376: Find the value of the constant k for which the equation 2x^2+(k+3)x+2k=0 has equal roots \n" ); document.write( "

Algebra.Com's Answer #787455 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "The discriminant must be equal to zero\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    d =  - 4*2*(2k) = 0,   or\r\n" );
document.write( "\r\n" );
document.write( "     k^2 +  6k + 9 - 16k = 0\r\n" );
document.write( "\r\n" );
document.write( "     k^2 - 10k + 9 = 0\r\n" );
document.write( "\r\n" );
document.write( "     (k-9)*(k-1) = 0\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The roots are    = 1  and   = 9.\r\n" );
document.write( "\r\n" );
document.write( "     \r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The values of \"k\" under the problem's question are 1 and 9.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );