document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194157>Question 194157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Toshiba is working on a 50-inch diagnol measure television that has a height that is 24 inches less than the length. What are the dimensions of the rectangular screen?\r<BR>\n" );
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document.write( "I have gotten through most steps to get an equation of x^2 - 24x - 962=0 and am having a very hard time factoring that. Please help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145741 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Toshiba is working on a 50-inch diagonal measure television that has a height<BR>\n" );
document.write( " that is 24 inches less than the length.<BR>\n" );
document.write( " What are the dimensions of the rectangular screen?<BR>\n" );
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document.write( "I think you made a small mistake here<BR>\n" );
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document.write( "Let x = the height<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+24) = the width<BR>\n" );
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document.write( "x^2 + (x+24)^2 = 50^2<BR>\n" );
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document.write( "x^2 + x^2 + 48x + 576 = 2500<BR>\n" );
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document.write( "2x^2 + 48x + 576 - 2500 = 0<BR>\n" );
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document.write( "2x^2 + 48x - 1924 = 0<BR>\n" );
document.write( "Simplify divide by 2<BR>\n" );
document.write( "x^2 + 24x - 962 = 0; 24x is positive<BR>\n" );
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document.write( "Using the quadratic formula, I got x = 21.25\" (the height<BR>\n" );
document.write( "then the width: 45.25\"<BR>\n" );
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document.write( "Check solution on calc: enter <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2821.25%5E2+%2B+45.25%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2821.25%5E2+%2B+45.25%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 49.99 ~ 50<BR>\n" );
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document.write( "you did not make a mistake, if you made x = the width, then the height = (x-24)<BR>\n" );
document.write( "The quadratic equation you had was correct, but it will not factor. using<BR>\n" );
document.write( "the quadratic formula you would get x = 45.25 which is right.  Sorry I missed that. Carl <BR>\n" );
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