document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112294>Question 1112294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For what value(s) of K will the equation 3xsquared=k-2x have real roots </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727308 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=727308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  For what value(s) of K will the equation 3xsquared=k-2x have real roots.<BR>\n" );
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document.write( "3x^2 = k - 2x<BR>\n" );
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document.write( "Rearrange::<BR>\n" );
document.write( "3x^2 + 2x - k = 0<BR>\n" );
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document.write( "Real roots if b^2-4ac > 0<BR>\n" );
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document.write( "Solve:: 2^2 - 4*3*(-k) > 0<BR>\n" );
document.write( "12k < 4<BR>\n" );
document.write( "k < 1/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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