document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767352>Question 767352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Sir/Madam,<BR>\n" );
document.write( "A pleasant day! can you please help me with this problem, guide me in finding the value asked.  Here is the problem:  Find the value of k so that the equation 4x^2+kx+6=0, has one root of -2\r<BR>\n" );
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document.write( "Thank you very much for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467565 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^2+kx+6=0<BR>\n" );
document.write( "the factors satisfying the constraint that one of the solutions is x = -2 are<BR>\n" );
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document.write( "(4x+3) * (x+2) = 0<BR>\n" );
document.write( "x = -2 or -3/4<BR>\n" );
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document.write( "multiplying the factors we get<BR>\n" );
document.write( "4x^2 +11x +6 = 0<BR>\n" );
document.write( "k = 11<BR>\n" );
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document.write( "let's now check the answer x=-2 with k=11 above<BR>\n" );
document.write( "4*(-2)^2 + 11*(-2) +6 = 0<BR>\n" );
document.write( "16 -22 +6 = 0<BR>\n" );
document.write( "22 -22 = 0<BR>\n" );
document.write( "x=-2 with k=11 checks out!!!!!!!!!!!!!!<BR>\n" );
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document.write( "the key here is that the problem does not say that -2 is the ONLY solution\r<BR>\n" );
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