document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041248>Question 1041248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on these three questions:<BR>\n" );
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document.write( "2a = 3b<BR>\n" );
document.write( "a^2 + b^2 = 117<BR>\n" );
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document.write( "Find two numbers with a sum of 6 and with a quotient of -4.<BR>\n" );
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document.write( "A twenty-six meters of fencing is used to enclose a rectangular lot with an area of 42 square meters. What are the dimensions of the lot?\r<BR>\n" );
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document.write( "I want to learn more about Quadratic Equations so I had these examples from the book. Please help for a test tomorrow! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656214 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52777)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656214\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "I need help on these three questions:<BR>\n" );
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document.write( "2a = 3b<BR>\n" );
document.write( "a^2 + b^2 = 117<BR>\n" );
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document.write( "Find two numbers with a sum of 6 and with a quotient of -4.<BR>\n" );
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document.write( "A twenty-six meters of fencing is used to enclose a rectangular lot with an area of 42 square meters. What are the dimensions of the lot?\r<BR>\n" );
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document.write( "I want to learn more about Quadratic Equations so I had these examples from the book. Please help for a test tomorrow!<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "1.  2a = 3b,              (1)\r\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 117.        (2)\r\n" );
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document.write( "    Multiply the eqn.(2) by 4 (both sides). You will get \r\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a%5E2+%2B+4b%5E2 ALIGN=MIDDLE  ALT=\"4a%5E2+%2B+4b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4*117,   or\r\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282a%29%5E2+%2B+4b%5E2 ALIGN=MIDDLE  ALT=\"%282a%29%5E2+%2B+4b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 468.    (3)\r\n" );
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document.write( "    Now replace 2a in (3) by 3b, according to (1). You will get\r\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283b%29%5E2+%2B+4b%5E2 ALIGN=MIDDLE  ALT=\"%283b%29%5E2+%2B+4b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 468,   or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9b%5E2+%2B+4b%5E2 ALIGN=MIDDLE  ALT=\"9b%5E2+%2B+4b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 468,   or   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13b%5E2 ALIGN=MIDDLE  ALT=\"13b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 468.\r\n" );
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document.write( "    Now divide both sides by 13. You will get\r\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2 ALIGN=MIDDLE  ALT=\"b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=468%2F13 ALIGN=MIDDLE  ALT=\"468%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 36.\r\n" );
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document.write( "    Hence, b = +/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2836%29 ALIGN=MIDDLE  ALT=\"sqrt%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +/-6.\r\n" );
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document.write( "<U>Answer</U>.  b = 6,  a = 9   and/or   b = -6, a = -9.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Regarding your question  #3, see the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Surface-area/Problems-on-the-area-and-the-perimeter-of-a-rectangle.lesson>Problems on the area and the dimensions of a rectangle</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "You will find there a lot of solved problems similar to yours.<BR>\n" );
document.write( "Read them and consider them as the samples.<BR>\n" );
document.write( "Then solve your problem on your own.\r<BR>\n" );
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document.write( "Also, look into this file &nbsp;<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "It is your free online textbook in ALGEBRA-I.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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