document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=553546>Question 553546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Twice a number is 8 less than its square. What is the number?\r<BR>\n" );
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document.write( "The length of a rectangle is 5m more than its width. What is the width of the rectangle if its area is 84 m^?\r<BR>\n" );
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document.write( "List any necessary restrictions on the variable for the fraction to be defined.<BR>\n" );
document.write( "I have 2 different examples: EX(1) (x-1)divided by 2x+8    EX(2) x(x+2) divided by (x-3)(x+5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360922 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=360922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Twice a number is 8 less than its square. What is the number?<BR>\n" );
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document.write( "Let the number be \"x\":<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "2x = x^2-8<BR>\n" );
document.write( "x^2-2x-8 = 0<BR>\n" );
document.write( "(x-4)(x+2) = 0<BR>\n" );
document.write( "x = 4 or x = -2<BR>\n" );
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document.write( "The length of a rectangle is 5m more than its width. What is the width of the rectangle if its area is 84 m^?<BR>\n" );
document.write( "L = W + 5<BR>\n" );
document.write( "Area = 84 sq meters<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "LW = 84<BR>\n" );
document.write( "Substitute for \"L\" and solve for \"W\":<BR>\n" );
document.write( "(W+5)W = 84<BR>\n" );
document.write( "W^2 + 5W - 84 = 0<BR>\n" );
document.write( "(W+12)(W-7) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "W = 7 meters (width)<BR>\n" );
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document.write( "Solve for \"L\"<BR>\n" );
document.write( "L = W + 5<BR>\n" );
document.write( "L = 12 meters (length)<BR>\n" );
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document.write( "List any necessary restrictions on the variable for the fraction to be defined.<BR>\n" );
document.write( "I have 2 different examples: <BR>\n" );
document.write( "EX(1) (x-1)divided by 2x+8<BR>\n" );
document.write( "2x+8 cannot be zero<BR>\n" );
document.write( "x cannot be -8/2 = -4<BR>\n" );
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document.write( "EX(2) x(x+2) divided by (x-3)(x+5)<BR>\n" );
document.write( "(x-3)(x+5) cannot be zero<BR>\n" );
document.write( "x cannot be 3<BR>\n" );
document.write( "x cannot be -5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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