document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086050>Question 1086050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number x satisfies 5x^2 + 4 = 3x + 9. Find the value of (10x - 3)^2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700168 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=700168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rewrite as 5x^2-3x-5=0<BR>\n" );
document.write( "x=(1/10)(3+/- sqrt (9+100); sqrt 109=10.44<BR>\n" );
document.write( "x=(1/10)13.44=1.34; exact answer is {3+sqrt(109)}/10<BR>\n" );
document.write( "x=(1/10)(-7.44)=-0.74 exact answer is {3-sqrt(109)}/10<BR>\n" );
document.write( "check<BR>\n" );
document.write( "8.98+4=4.02+9 within rounding error.<BR>\n" );
document.write( "6.74=-2.22+9, same<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-3%2C3%2C-10%2C10%2C5x%5E2-3x-5%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-3%2C3%2C-10%2C10%2C5x%5E2-3x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "10x=3+sqrt(109) and 3-sqrt(109)<BR>\n" );
document.write( "(10x-3)^2=9+6 sqrt(109)+109=118+6 sqrt(109)<BR>\n" );
document.write( "(10x-3)^2=9-6 sqrt(109)+109=118-6 sqrt(109)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );