document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823280>Question 823280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.)Write a quadratic equation in factored form to model the given problem. Be sure to write the entire equation.\r<BR>\n" );
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document.write( "The height of a triangle is 4 more than the base, and the area of the triangle is 6 square units. Find the length of the base. Let x = the length of the base.\r<BR>\n" );
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document.write( "2.)2.) 1/5x^2=x-4/5<BR>\n" );
document.write( "{-1, -4}<BR>\n" );
document.write( "{1, -4}<BR>\n" );
document.write( "{1, 4}  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495399 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=495399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.)Write a quadratic equation in factored form to model the given problem. Be sure to write the entire equation. <BR>\n" );
document.write( "The height of a triangle is 4 more than the base, and the area of the triangle is 6 square units. Find the length of the base. Let x = the length of the base.<BR>\n" );
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document.write( "Area = (1/2)base*height<BR>\n" );
document.write( "6 = (1/2)x*(x+4)<BR>\n" );
document.write( "x^2+4x = 12<BR>\n" );
document.write( "x^2 + 4x -12 = 0<BR>\n" );
document.write( "Factor::<BR>\n" );
document.write( "(x+6)(x-2) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 2 (length of the base)<BR>\n" );
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document.write( "2.) <BR>\n" );
document.write( "1/5x^2=x-4/5\r<BR>\n" );
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document.write( "x^2 = 5x - 4<BR>\n" );
document.write( "x^2 - 5x + 4 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-4)(x-1) = 0<BR>\n" );
document.write( "x = 4 or x = 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "{-1, -4}<BR>\n" );
document.write( "{1, -4}<BR>\n" );
document.write( "{1, 4} <BR>\n" );
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