document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025135>Question 1025135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for X:<BR>\n" );
document.write( "X^2 + 3X - 28 = 0<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640444 by </B><A HREF=/tutors/aboutme.mpl?userid=mbessearch><B>mbessearch(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mbessearch><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=640444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Polynomial equations, which have two answers. <BR>\n" );
document.write( "Equations in this form are likely (especially on a test) created by (x+a)(x+b)=0.<BR>\n" );
document.write( "Either x+a=0 or x+b=0 \r<BR>\n" );
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document.write( "Given the simplicity of this problem what are the factors of 28 that have a difference of 3<BR>\n" );
document.write( "28, 1 nope. 14, 2 nope, 7, 4 yes! <BR>\n" );
document.write( "We know that one must be negative and one positive. Since the second term in the original question si positive, the answers are a and b are 7 and -4.\r<BR>\n" );
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document.write( "Going back to find x, we have x+7=0 and x-4=0. Solving for x we get -7 and 4. \r<BR>\n" );
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document.write( "Testing them in the original equation proves they are correct. <BR>\n" );
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