document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74560>Question 74560</A>: <I><SPAN STYLE=\"word-break: break-all;\"> decide all values of b in the following equations that will give one or more real number solutions.\r<BR>\n" );
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document.write( "a) 3x^2 + bx - 3 = 0<BR>\n" );
document.write( "b) 5x^2 + bx + 1 = 0<BR>\n" );
document.write( "c) -3x^2 + bx - 3 = 0<BR>\n" );
document.write( "d) Write a rule for judging if an equation has solutions by looking at it in standard form.\r<BR>\n" );
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document.write( "I do not understand how can find these solutions.\r<BR>\n" );
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document.write( "Please show work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53581 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B+bx+-+3+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+bx+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%283x+%2B+b%29+-+3+=+0 ALIGN=MIDDLE  ALT=\"x%283x+%2B+b%29+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%283x+%2B+b%29+=+3 ALIGN=MIDDLE  ALT=\"x%283x+%2B+b%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+b+=+3%2Fx ALIGN=MIDDLE  ALT=\"3x+%2B+b+=+3%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+3%2Fx+-+3x ALIGN=MIDDLE  ALT=\"b+=+3%2Fx+-+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-1%2Fx+-+5x ALIGN=MIDDLE  ALT=\"b+=+-1%2Fx+-+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+3%2Fx+%2B+3x ALIGN=MIDDLE  ALT=\"b+=+3%2Fx+%2B+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(d) In general<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+a%2Fx+%2B+cx ALIGN=MIDDLE  ALT=\"b+=+a%2Fx+%2B+cx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );