document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886877>Question 886877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution for this?<BR>\n" );
document.write( "Please use the 4 methods in quadratic equation to see the answer:<BR>\n" );
document.write( "*extracting the square root<BR>\n" );
document.write( "*Factoring<BR>\n" );
document.write( "*Completing the square<BR>\n" );
document.write( "and *Quadratic Formula\r<BR>\n" );
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document.write( "The sides of a square are increased to form a rectangle. One side is increased by 3 units and the other side is increased by 4 units. The area of the rectangle is 110 square units. What was the length of the side of the square?\r<BR>\n" );
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document.write( "Much thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536229 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=536229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the side of the square, then<BR>\n" );
document.write( "(x+4)*(x+3) = 110<BR>\n" );
document.write( "x^2 +7x +12 = 110<BR>\n" );
document.write( "x^2 +7x -98 = 0<BR>\n" );
document.write( "1) can not use extracting the square root since polynomial is not a perfect square.<BR>\n" );
document.write( "2) (x+14)*(x-7) = 0<BR>\n" );
document.write( "x = -14 or 7<BR>\n" );
document.write( "we need a positive value solution so we reject x = -14<BR>\n" );
document.write( "the length of the side of the square is 7 units<BR>\n" );
document.write( "3) x^2 +7x = 98<BR>\n" );
document.write( "x^2 +7x + 49/4 = 98 + 49/4<BR>\n" );
document.write( "(x + 7/2)^2 = 392/4 + 49/4 = 441/4<BR>\n" );
document.write( "take square root of both sides of =<BR>\n" );
document.write( "3.1) x + 7/2 = 21/2<BR>\n" );
document.write( "x = 14/2 = 7<BR>\n" );
document.write( "3.2) x +7/2 = -21/2<BR>\n" );
document.write( "x = -28/2 = -14<BR>\n" );
document.write( "4) x^2 +7x -98 = 0<BR>\n" );
document.write( "x = (-b + or - square root(b^2 -4ac))/ (2a)<BR>\n" );
document.write( "4.1) x = (-7 + square root(49 - 4*1*(-98))) / 2 = 7<BR>\n" );
document.write( "4.2) x = (-7 - square root(49 - 4*1*(-98))) / 2 = -14<BR>\n" );
document.write( " </SPAN>\n" );
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