document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120070>Question 120070</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0785435670/algebrahomeworkh>Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> b^2+10^2=13^2<BR>\n" );
document.write( "I have already tried these setups:<BR>\n" );
document.write( "13^2=10^2+b^2   and<BR>\n" );
document.write( "10^2=13^2+b^2\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 #87995 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=87995\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You wrote:\r<BR>\n" );
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document.write( "\"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%2B10%5E2=13%5E2 ALIGN=MIDDLE  ALT=\"b%5E2%2B10%5E2=13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I have already tried these setups:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%5E2=10%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"13%5E2=10%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E2=13%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"10%5E2=13%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E2=13%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"10%5E2=13%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is incorrect: You have the signs wrong.  In order to move the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E2 ALIGN=MIDDLE  ALT=\"10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%5E2 ALIGN=MIDDLE  ALT=\"13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms to the opposite sides of the equal sign, you have to subtract them.  The correct equation would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10%5E2=-13%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"-10%5E2=-13%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Also neither of your arrangements, even though  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%5E2=10%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"13%5E2=10%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is technically correct, won't do you much good because you have not isolated the variable in either case.\r<BR>\n" );
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document.write( "The arrangement that you want comes from adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10%5E2 ALIGN=MIDDLE  ALT=\"-10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides of the original equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%2B10%5E2=13%5E2 ALIGN=MIDDLE  ALT=\"b%5E2%2B10%5E2=13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%2B10%5E2-10%5E2=13%5E2-10%5E2 ALIGN=MIDDLE  ALT=\"b%5E2%2B10%5E2-10%5E2=13%5E2-10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=13%5E2-10%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=13%5E2-10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice that we now have the variable, b, isolated to one side of the equal sign and the constant values on the other side.  Now you can take the square root of both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2%29=sqrt%2813%5E2-10%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2%29=sqrt%2813%5E2-10%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28169-100%29=sqrt%2869%29 ALIGN=MIDDLE  ALT=\"b=sqrt%28169-100%29=sqrt%2869%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So your solution set is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%2869%29 ALIGN=MIDDLE  ALT=\"b=sqrt%2869%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-sqrt%2869%29 ALIGN=MIDDLE  ALT=\"b=-sqrt%2869%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  However, if, as I suspect, you are dealing with a right triangle of hypotenuse 13 and long leg of 10 and want the measure of the short leg, you can exclude the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-sqrt%2869%29 ALIGN=MIDDLE  ALT=\"b=-sqrt%2869%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > result because a negative number for a length is absurd.  Also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2869%29 ALIGN=MIDDLE  ALT=\"sqrt%2869%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in simplest terms because there are no perfect square factors of 69 (the prime factorization of 69 is 3 * 23).\r<BR>\n" );
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document.write( "Hope this helps.<BR>\n" );
document.write( "John\r<BR>\n" );
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