document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=638847>Question 638847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I dont generally have a problem with fractional terms in a quadratic but the following problem has a variable in the fraction and has me confused. Here is the problem:\r<BR>\n" );
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document.write( "bx^2 + 2x + 1/b = 0  (b does not equal 0) solve for x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402440 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10551)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=402440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "I dont generally have a problem with fractional terms in a quadratic but the following problem has a variable in the fraction and has me confused. Here is the problem:\r<BR>\n" );
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document.write( "bx^2 + 2x + 1/b = 0  (b does not equal 0) solve for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bx%5E2+%2B+2x+%2B+1%2Fb+=+0 ALIGN=MIDDLE  ALT=\"bx%5E2+%2B+2x+%2B+1%2Fb+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2x%5E2+%2B+2bx+%2B+1+=+0 ALIGN=MIDDLE  ALT=\"b%5E2x%5E2+%2B+2bx+%2B+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- Multiplying by LCD, b\r<BR>\n" );
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document.write( "Looking for factors of + 1 (c * a) that sum to + 2 (b). These factors are 1 and 1. The replacement for \"b\" is therefore, 1bx and 1bx. We now have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2x%5E2+%2B+bx+%2B+bx+%2B+1+=+0 ALIGN=MIDDLE  ALT=\"b%5E2x%5E2+%2B+bx+%2B+bx+%2B+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E2x%5E2+%2B+bx%29+%2B+%28bx+%2B+1%29+=+0 ALIGN=MIDDLE  ALT=\"%28b%5E2x%5E2+%2B+bx%29+%2B+%28bx+%2B+1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "bx(bx + 1) + 1(bx + 1)\r<BR>\n" );
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document.write( "(bx + 1)(bx + 1) = 0, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28bx+%2B+1%29%5E2+=+0 ALIGN=MIDDLE  ALT=\"%28bx+%2B+1%29%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "bx + 1 = 0\r<BR>\n" );
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document.write( "bx = - 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x+=+-+1%2Fb%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x+=+-+1%2Fb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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