document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252283>Question 252283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the distance between the two points of intersection of y = x^2 -x  and <BR>\n" );
document.write( "y = 3x+5 \r<BR>\n" );
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document.write( "a. &#8730;10  b. 6   c. 6&#8730;10   d. 8   e. 2&#8730;130 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184127 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find the distance between the two points of intersection of y = x^2 -x and <BR>\n" );
document.write( "y = 3x+5 <BR>\n" );
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document.write( "Find the 2 points of intersection:<BR>\n" );
document.write( "y = x^2 -x and <BR>\n" );
document.write( "y = 3x+5 <BR>\n" );
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document.write( "Since they both = y, the equal each other<BR>\n" );
document.write( "x^2 - x = 3x + 5<BR>\n" );
document.write( "x^2 - 4x - 5 = 0<BR>\n" );
document.write( "(x-5)*(x+1) = 0<BR>\n" );
document.write( "x = -1, y = 2 --> (-1,2)<BR>\n" );
document.write( "x = 5, y = 20 --> (5,20)<BR>\n" );
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document.write( "Find the distance:<BR>\n" );
document.write( "s^2 = diffy^2 + diffx^2 = 6^2 + 18^2<BR>\n" );
document.write( "s^2 = 36 + 324 = 360<BR>\n" );
document.write( "x = sqrt(360) = 6sqrt(10)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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