document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184189>Question 184189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 114. Surface area of a cube. The formula A =6V^2/3   gives<BR>\n" );
document.write( "the surface area of a cube in terms of its volume V. What  is the volume of a cube with surface area 12 square feet?\r<BR>\n" );
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document.write( "94. Find all real or imaginary solutions to each equation.<BR>\n" );
document.write( "  49x^2+9=42x\r<BR>\n" );
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document.write( "98.  x-1/x+2= 2x-3/x+4\r<BR>\n" );
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document.write( "106. Find exact and approximate solutions to each problem. <BR>\n" );
document.write( "     One on one. Find two positive real numbers that differ by 1 and have a product of 1.\r<BR>\n" );
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document.write( "110. Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?\r<BR>\n" );
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document.write( "114. Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0+2x^2+300x-200 . What is the profit if 500 are sold? For what value of x will the profit be at a maximum?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138236 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Doing all of these is a lot of work.  I'll do one and if you like, you can write back and we can negotiate a fee for the rest of it -- or you can just repost the others.\r<BR>\n" );
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document.write( "106. Find exact and approximate solutions to each problem. <BR>\n" );
document.write( "One on one. Find two positive real numbers that differ by 1 and have a product of 1.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ x - y = 1 \ \ \Rightarrow\ \ -y = 1 - x\ \ \Rightarrow\ \ y = x - 1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ xy = 1 \ \ \Rightarrow\ \ x(x - 1) = 1\"> (by substitution)\r<BR>\n" );
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document.write( "So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ x^2 - x - 1 = 0  \">\r<BR>\n" );
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document.write( "Using the quadratic formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ x_{1,2} = \frac{-b\pm sqrt{b^2 -4ac}}{2a} = \frac{-(-1) \pm sqrt{(-1)^2 -4(1)(-1)}}{2(1)} = \frac{1 \pm sqrt{5}}{2}\"> (exact answer)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ x_{1,2} \approx \frac{1}{2} \pm \frac{2.24}{2}\">\r<BR>\n" );
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document.write( "So approximately 1.62 or -0.62\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large e^{i\pi} + 1 = 0\"><BR>\n" );
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