document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083011>Question 1083011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Make T the subject of the formula<BR>\n" );
document.write( "1/2gt^2=s </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697018 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=697018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> start with 1/2 * g * t^2 = s\r<BR>\n" );
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document.write( "multiply both sides of the equation by 2 to get:\r<BR>\n" );
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document.write( "g * t^2 = 2 * s\r<BR>\n" );
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document.write( "divide both sides of the equation by g to get:\r<BR>\n" );
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document.write( "t^2 = (2 * s) / g\r<BR>\n" );
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document.write( "take the square root of both sides of the equation to get:\r<BR>\n" );
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document.write( "t = plus or minus sqrt( 2 * s) / g )\r<BR>\n" );
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document.write( "how do you know you did this correctly?\r<BR>\n" );
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document.write( "let's take the last equation and allow s to be equal to 4 and g to be equal to 2.\r<BR>\n" );
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document.write( "the last equation would become t = plus or minus sqrt( 2 * 4) / 2)\r<BR>\n" );
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document.write( "this would result in t = plus or minus sqrt( 4 ) which would result in t = plus or minus 2.\r<BR>\n" );
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document.write( "now that we know that t = plus or minus 2 because we solved for it using the final equation, and s = 4 and g = 2 because we made them that way, let's look at the original equation and replace the variables with their respective values.\r<BR>\n" );
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document.write( "the original equation is 1/2 * g * t^2 = s\r<BR>\n" );
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document.write( "when g = 2 and s = 4, this equation becomes:\r<BR>\n" );
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document.write( "1/2 * 2 * t^2 = 4\r<BR>\n" );
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document.write( "if we make t = plus 2, this equation becomes 1/2 * 2 * (2)^2 = 4 which becomes 1/2 * 2 * 4 = 4 which becomes 1/2 * 8 = 4 which becomes 4 = 4 which is true.\r<BR>\n" );
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document.write( "if we make t = minus 2, this equation becomes 1/2 * 2 * (-2)^2 = 4 which becomes 1/2 * 2 * 4 = 4 which becomes 1/2 * 8 = 4 which becomes 4 = 4 which is also true.\r<BR>\n" );
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document.write( "since the original equation is true after we replace t with the values that we solved for in the final equation, we can be reasonably sure that the solution is correct.\r<BR>\n" );
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document.write( "therefore:\r<BR>\n" );
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document.write( "the original equation is 1/2 * g * t^2 = s\r<BR>\n" );
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document.write( "the final equation is t = plus or minus sqrt( 2 * s / g )\r<BR>\n" );
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document.write( " </SPAN>\n" );
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