document.write( "Question 1119891: 16x^2+1≥−8x \n" ); document.write( "

Algebra.Com's Answer #735528 by ikleyn(52780) $\"\"$ $\"About$

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

\r\n" );
document.write( "You want to solve an inequality\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    16x^2 + 1 >= -8x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is equivalent to\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    16x^2 + 8x + 1 >= 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is equivalent to\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     >= 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The last inequality is valid for all real values x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The given inequality has the set of solutions ALL REAL NUMBERS.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        Plot y = \r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Be aware : The solution by @rapture1965 is I N C O R R E C T.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );