document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139466>Question 139466</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of b for which the equation has exactly one real root. (Hint- think discriminate0\r<BR>\n" );
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document.write( "x^2+bx+36=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101680 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if b is twice the square root of the constant term, then the quadratic is a perfect square (one real root)\r<BR>\n" );
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document.write( "b=2sqrt(36) __ b=2(+- 6) __ b=+- 12\r<BR>\n" );
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document.write( "if the discriminant equals zero, then there is one real root\r<BR>\n" );
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document.write( "b^2-4ac=0 __ b^2=4ac __ b=+- sqrt(4ac) __ b=+- sqrt(4*1*36) __ b=+- sqrt(144) __ b=+- 12 </SPAN>\n" );
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