document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=704018>Question 704018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3 circle, radii of centre PQR are 3.5 cm, x cm, 7 cm. Given that angle of PQR = 90 degree.<BR>\n" );
document.write( "a. show that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B21x-49=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B21x-49=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b. find x<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433895 by </B><A HREF=/tutors/aboutme.mpl?userid=sachi><B>sachi(548)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sachi><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=sachi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=433895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3 circle, radii of centre PQR are 3.5 cm, x cm, 7 cm. Given that angle of PQR = 90 degree.& of course the missing part is they are touching each other<BR>\n" );
document.write( "so PQ=3.5+x=7/2*x  QR=7+x & PR=7+3.5=7+7/2=21/2<BR>\n" );
document.write( "PQR is a right triangle<BR>\n" );
document.write( "so PQ^2+QR^2=PR^2<BR>\n" );
document.write( "or(7/2+x)^2+(7+x)^2=(21/2)^2=441/4<BR>\n" );
document.write( "or 49/4+x^2+7x+49+x^2+14x=441/4<BR>\n" );
document.write( "or 2x^2+21x=441/4-49/4-49=49<BR>\n" );
document.write( "or 2x^2+21x-49=0  ANS a<BR>\n" );
document.write( "  now multiplying 8 on both sides<BR>\n" );
document.write( "16x^2+168x-392=0<BR>\n" );
document.write( "or (4x)^2+2*4x*21+441-441-392=0<BR>\n" );
document.write( "or (4x+21)^2=833<BR>\n" );
document.write( "or x=(-21+/-sqrt833)/4<BR>\n" );
document.write( "ans </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );