document.write( "Question 767408: Sir/Madam,
\n" ); document.write( "A pleasant day! please help me with this problem:\r
\n" ); document.write( "\n" ); document.write( "Find the value of k so that the equation 2x^2-kx+8=0 will have imaginary roots .
\n" ); document.write( "Thank you very much for helping me! \n" ); document.write( "
Algebra.Com's Answer #467606 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Find the value of k so that the equation 2x^2-kx+8=0 will have imaginary roots .
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\n" ); document.write( "From part of the \"quadratic equation\" we have:
\n" ); document.write( "\"sqrt%28b%5E2-4ac%29\"
\n" ); document.write( "The equation will have imaginary root if:
\n" ); document.write( "(b^2-4ac) < 0
\n" ); document.write( "plug in given values:
\n" ); document.write( "((-k)^2-4(2)(8)) < 0
\n" ); document.write( "(k^2-64) < 0
\n" ); document.write( "k^2 < 64
\n" ); document.write( "k < sqrt(64)
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\n" ); document.write( "answer: (in interval notation)
\n" ); document.write( "(-8, 8)
\n" ); document.write( "That is, -8 < k < 8\r
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