document.write( "Question 1179144: For what values of c will x² +28x + c = 0 have no real solutions? Explain \n" ); document.write( "

Algebra.Com's Answer #853632 by ikleyn(53618) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "For what values of c will x^2 +28x + c = 0 have no real solutions? Explain
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The given quadratic equation has no real solutions if and only if its discriminant is a negative value.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The discriminant is  d = 28^2 - 4c = 784 - 4c.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The condition of negativity the discriminant is\r\n" );
document.write( "\r\n" );
document.write( "    784 - 4c < 0,   or   4c > 784,   c > 784/4 = 196.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The given equation has no real solutions at c > 196.\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" );