document.write( "Question 1180170: For what values of k will the graph of y = 9x^2+3kx+k have no x-intercepts? \n" ); document.write( "

Algebra.Com's Answer #809779 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "If and only if the discriminant of the quadratic function is NEGATIVE\r\n" );
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document.write( "    d = b^2 - 4ac = (3k)^2 - 4*9*k < 0\r\n" );
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document.write( "    9k^2 - 36k < 0\r\n" );
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document.write( "     k^2 - 4k < 0\r\n" );
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document.write( "     k*(k-4) < 0\r\n" );
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document.write( "     0 < k < 4.\r\n" );
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document.write( "               A  N  S  W  E  R  \r\n" );
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document.write( "   +-------------------------------------------+\r\n" );
document.write( "   |     the given graph has no x-intercepts   |\r\n" );
document.write( "   |             for  0 < k < 4.               |\r\n" );
document.write( "   +-------------------------------------------+\r\n" );
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