document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136663>Question 1136663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> b=a+c, than the equation ax2+bx+c=0 has\r<BR>\n" );
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document.write( "a) real root b)no real root c) equal root d) no root </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754466 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=754466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it appears tha this will give you real roots.<BR>\n" );
document.write( "in fact, it appears that one of the roots will be plus or minus c/a and the other root will be -1.\r<BR>\n" );
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document.write( "here's my worksheet that derives what i think is the answer.\r<BR>\n" );
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document.write( "apparently one of the roots will be -c/a and the other root will be -1.\r<BR>\n" );
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document.write( "i tested this out with various value of b = c + a to see if that was true.\r<BR>\n" );
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document.write( "as far as i can tell, it is.\r<BR>\n" );
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document.write( "i chose to test this against a quadratic solver.\r<BR>\n" );
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document.write( "i chose the following scenarios.\r<BR>\n" );
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document.write( "a     b     c       root 1     root 2\r\n" );
document.write( "-5    -25   -20     -4         -1\r\n" );
document.write( "-5    +15   +20     -1         +4\r\n" );
document.write( "+5    -15   -20     -1         +4\r\n" );
document.write( "+5    +25   +20     -4         -1\r\n" );
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document.write( "in all of these scenarios, b = a + c.\r<BR>\n" );
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document.write( "one of the roots was -c/a and the other root was -1, as i had derived in the worksheet, confirming that the derivation was correct.\r<BR>\n" );
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document.write( "here's the results from the quadratic solver.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/031413.JPG\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "your solution is selection (a) real root </SPAN>\n" );
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