document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=843938>Question 843938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help~\r<BR>\n" );
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document.write( "If the equation kx^2+2x+28=k-x^2-6kx has equal roots, show that k=-9/10 or 3. \r<BR>\n" );
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document.write( "I tried substituting those numbers in but that didn't work out \r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508582 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=508582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equation kx^2+2x+28=k-x^2-6kx has equal roots, show that k=-9/10 or 3.<BR>\n" );
document.write( "kx^2 + 2x + 28 = k - x^2 - 6kx<BR>\n" );
document.write( "replace k with 3<BR>\n" );
document.write( "3x^2 + 2x + 28 = 3 - x^2 - 18x<BR>\n" );
document.write( "Combine like terms on the left<BR>\n" );
document.write( "3x^2 + x^2 + 2x + 18x + 28 - 3 = 0<BR>\n" );
document.write( "4x^2 + 20x + 25 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(2x+5)(2x+5) = 0<BR>\n" );
document.write( "2x = -5<BR>\n" );
document.write( "x = -2.5, 2.5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I'll let you try k=-.9, it's past my bedtime </SPAN>\n" );
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