document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130951>Question 130951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give exact and approximate solutions to 3 decimal places.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5x-3=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B5x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The exact solutions are:\r<BR>\n" );
document.write( "\n" );
document.write( "The approximate solutions to 3 decimal places are:\r<BR>\n" );
document.write( "\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 #95545 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=95545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5x-3=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B5x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Completing the square is inconvenient because the coefficient on the x term is odd, so just use the quadratic formula:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-red%28b%29+%2B-+sqrt%28+red%28b%29%5E2-4%2Agreen%28a%29%2Ablue%28c%29+%29%29%2F%282%2Agreen%28a%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-red%285%29+%2B-+sqrt%28+red%285%29%5E2-4%2Agreen%281%29%2Ablue%28%28-3%29%29+%29%29%2F%282%2Agreen%281%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+%2B-+sqrt%28+25%2B12+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B-+sqrt%28+25%2B12+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+%2B-+sqrt%28+37+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B-+sqrt%28+37+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "37 is prime so there is no further simplification possible, and the two values presented above are the exact roots of the equation.  As to the 3-decimal place accurate approximation, you can push calculator buttons as well as I can.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );