document.write( "Question 1079766: For what values of 'c' does the equation |2x -4| = x + c have exactly two solutions? \n" ); document.write( "

Algebra.Com's Answer #693997 by ikleyn(52864) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "The answer is THIS:\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "      at x = 2, the value of x + c must be positive.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "In other words, 2+c must be positive: 2+c > 0, \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "which implies c > -2.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Plot y = 2*|2x-4| (red) and y = x - 1.5 (green)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );