document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=845803>Question 845803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I want to see the steps in solving the following equation for the unknown T:\r<BR>\n" );
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document.write( "(C*T)/2 = sqrt(L^2 + ((V*T)/2)^2)\r<BR>\n" );
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document.write( "sqrt=square root\r<BR>\n" );
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document.write( "It has been presented as a \"simple\" process, however, it has been 50 years since I had Algebra and for the life of me I cannot see how to solve for T.\r<BR>\n" );
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document.write( "Thanks you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509462 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=509462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%2AT%29%2F2+=+sqrt%28L%5E2+%2B+%28%28V%2AT%29%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28C%2AT%29%2F2+=+sqrt%28L%5E2+%2B+%28%28V%2AT%29%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Raise both members to the 2 power ( meaning square both sides).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28CT%2F2%29%5E2=L%5E2+%2B+%28%28V%2AT%29%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28CT%2F2%29%5E2=L%5E2+%2B+%28%28V%2AT%29%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add the additive inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28VT%29%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28%28VT%29%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28CT%2F2%29%5E2-%28%28VT%29%2F2%29%5E2=L%5E2 ALIGN=MIDDLE  ALT=\"%28CT%2F2%29%5E2-%28%28VT%29%2F2%29%5E2=L%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Steps beyond here can vary but should be mostly consistent with this:\r<BR>\n" );
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document.write( "Apply rule of exponents for the left member.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%2F2%29%5E2%2AT%5E2-%28V%2F2%29%5E2%2AT%5E2=L%5E2 ALIGN=MIDDLE  ALT=\"%28C%2F2%29%5E2%2AT%5E2-%28V%2F2%29%5E2%2AT%5E2=L%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; notice the two terms of T^2 in the left member.\r<BR>\n" );
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document.write( "Combine like-terms, or think of it as the reverse of the Distributive Property.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28C%5E2%29%2F4-%28V%5E2%29%2F4%29T%5E2=L%5E2 ALIGN=MIDDLE  ALT=\"%28%28C%5E2%29%2F4-%28V%5E2%29%2F4%29T%5E2=L%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify the rational expression factor.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28C%5E2-V%5E2%29%2F4%29T%5E2=L%5E2 ALIGN=MIDDLE  ALT=\"%28%28C%5E2-V%5E2%29%2F4%29T%5E2=L%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both members by multiplicative inverse of the rational expression<BR>\n" );
document.write( "(Being shown more fully):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F%28C%5E2-V%5E2%29%29%28%28C%5E2-V%5E2%29%2F4%29T%5E2=%284%2F%28C%5E2-V%5E2%29%29L%5E2 ALIGN=MIDDLE  ALT=\"%284%2F%28C%5E2-V%5E2%29%29%28%28C%5E2-V%5E2%29%2F4%29T%5E2=%284%2F%28C%5E2-V%5E2%29%29L%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2AT%5E2=%284L%5E2%29%2F%28C%5E2-V%5E2%29 ALIGN=MIDDLE  ALT=\"1%2AT%5E2=%284L%5E2%29%2F%28C%5E2-V%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%5E2=%284L%5E2%29%2F%28C%5E2-V%5E2%29 ALIGN=MIDDLE  ALT=\"T%5E2=%284L%5E2%29%2F%28C%5E2-V%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Raise both members to the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > power.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28highlight%28T=2L%2Fsqrt%28C%5E2-V%5E2%29%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28highlight%28T=2L%2Fsqrt%28C%5E2-V%5E2%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "and to be strictly correct...  OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28T=-2L%2Fsqrt%28C%5E2-V%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28T=-2L%2Fsqrt%28C%5E2-V%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Both of them are solved for T.\r<BR>\n" );
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document.write( "A few minor steps may have been omitted, because they might seem as too obvious and unnecessary to be shown, but these as shown should be clear enough for your understanding.<BR>\n" );
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document.write( "Note also, some people may not want an irrational expression in the denominator and so would want to rationalize the denominator. </SPAN>\n" );
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