document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004936>Question 1004936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A field is 3 metres longer than wide.<BR>\n" );
document.write( "The width of the field is x metres.<BR>\n" );
document.write( "The area of the field is 10m squared.<BR>\n" );
document.write( "Find x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621284 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=621284\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L= W+3 and we are calling the Width x:<BR>\n" );
document.write( "L= x+3<BR>\n" );
document.write( "And we are told that:<BR>\n" );
document.write( "x*(x+3)= 10<BR>\n" );
document.write( "x^2+3x= 10 Subtract 10 from both sides:<BR>\n" );
document.write( "x^2+3x-10= 0 Factor the equation (FOIL). Find two numbers that when added or subtracted give you 3 and when multiplied -10. The factors of 10 are: 1, 2, 5, 10. Got them, 5 and 2 are our numbers:<BR>\n" );
document.write( "(x+5)(x-2)= 0 Now break in 2 equations:<BR>\n" );
document.write( "x+5= 0 or x-2= 0<BR>\n" );
document.write( "x= -5 or x= 2 We are looking for a positive number, so toss the -5 and keep the 2:<BR>\n" );
document.write( "x= 2<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "x*(x+3)= 10<BR>\n" );
document.write( "2*(2+3)= 10<BR>\n" );
document.write( "2*5= 10 We've got the correct answer. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );