document.write( "Question 825876: For what values of k does 2x^2 - 5x - k = 0 have no real roots?
\n" ); document.write( "Can you please help me out? Thanks so much in advance:)
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Algebra.Com's Answer #497726 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "For what values of k does 2x^2 - 5x - k = 0 have no real roots?
\n" ); document.write( "Can you please help me out? Thanks so much in advance:)\r
\n" ); document.write( "\n" ); document.write( "

\n" ); document.write( "For values of k to have no real roots, the DISCRIMINANT MUST BE < 0 (negative). Therefore, we set the
\n" ); document.write( "DISCRIMINANT as negative, and solve.
\n" ); document.write( "DISCIMINANT: \"b%5E2+-+4ac\", with: a = 2 ; b = - 5 ; c = - k
\n" ); document.write( "Then, \"b%5E2+-+4ac+%3C+0\" becomes:
\n" ); document.write( " \"%28-+5%29%5E2+-+4%282%29%28-+k%29+%3C+0\"
\n" ); document.write( " \"25+%2B+8k+%3C+0\"
\n" ); document.write( " \"8k+%3C+-+25\"
\n" ); document.write( " \"highlight_green%28k+%3C+-+25%2F8%29\"
\n" ); document.write( "You can do the check!! \r
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