document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701571>Question 701571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the equation x2 + 3x + j = 0, find all the values of j such that the equation has two real number solutions. Show your work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432488 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=432488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3%2Ax%2Bj=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B3%2Ax%2Bj=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   Either know what is the discriminant, or try filling in solution to quadratic equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-3%2B-sqrt%289-4%2Aj%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-3%2B-sqrt%289-4%2Aj%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice if you want only Real solutions, then the square root's radicand must be positive.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-4%2Aj%3E=0 ALIGN=MIDDLE  ALT=\"9-4%2Aj%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   Only a simple matter to find j.  \r<BR>\n" );
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document.write( "-4j>=-9<BR>\n" );
document.write( "j<=(9/4)  [multiplied both sides by -(1/4)] </SPAN>\n" );
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