document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084659>Question 1084659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem, and fill in the blanks?\r<BR>\n" );
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document.write( "Michael builds a rectangular deck with an area of 50 square feet. The area is represented by the expression given below.<BR>\n" );
document.write( "x^2+5x\r<BR>\n" );
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document.write( "Find the width of the deck, and complete the given statements.<BR>\n" );
document.write( "Step 1: x^2+5x=50<BR>\n" );
document.write( "Step 2: x(x+5)=50           The length is x. What is the width? ___<BR>\n" );
document.write( "Step 3: x^+5x-50=0<BR>\n" );
document.write( "Step 4: (x+10)(x-5)=0\r<BR>\n" );
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document.write( "Because the length can't be ___, the length is 5, and the width is ___. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698718 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=698718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area of the deck is 50 square feet.\r<BR>\n" );
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document.write( "the area is represented by x^2 + 5x\r<BR>\n" );
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document.write( "your equation becomes x^2 + 5x = 50\r<BR>\n" );
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document.write( "subtract 50 from both sides of this equation to get x^2 + 5x - 50 = 0\r<BR>\n" );
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document.write( "factor this quadratic equation to get (x+10) * (x-5) = 0\r<BR>\n" );
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document.write( "your questions are:\r<BR>\n" );
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document.write( "Step 1: x^2+5x=50\r<BR>\n" );
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document.write( "correct.\r<BR>\n" );
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document.write( "Step 2: x(x+5)=50 The length is x. What is the width? ___\r<BR>\n" );
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document.write( "if the length is x, then the width has to be x + 5.\r<BR>\n" );
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document.write( "Step 3: x^2 + 5x - 50 = 0\r<BR>\n" );
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document.write( "correct.\r<BR>\n" );
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document.write( "Step 4: (x+10)(x-5)=0 \r<BR>\n" );
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document.write( "correct.\r<BR>\n" );
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document.write( "Because the length can't be ___, the length is 5, and the width is ___.\r<BR>\n" );
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document.write( "your factors are (x+10) * (x-5) = 0\r<BR>\n" );
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document.write( "to make this equation true, either x+10 is equal to 0 or (x-5) is equal to 0, or both.\r<BR>\n" );
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document.write( "set each factor equal to 0 and solve for x.\r<BR>\n" );
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document.write( "with x + 10 = 0, solve for x to get x = -10\r<BR>\n" );
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document.write( "with x - 5 = 0, solve for x to get x = 5\r<BR>\n" );
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document.write( "the length of the rectangle has to be positive, so x can't be equal to -10, therefore x = 5.\r<BR>\n" );
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document.write( "x is equal to 5 which represents the length.\r<BR>\n" );
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document.write( "x+5 is equal to 10 which represents the width.\r<BR>\n" );
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document.write( "length * width = 5 * 10 which is equal to 50 square feet.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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