document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277032>Question 277032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> trying to solve a velocity equation where s=4.9t^2+Vot<BR>\n" );
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document.write( "Velocity = Vo = 20m/s<BR>\n" );
document.write( "Height = s = 158.4m<BR>\n" );
document.write( "time = t = which is what we are solving for\r<BR>\n" );
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document.write( "so...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=158.4=4.9t%5E2+%2B+20t ALIGN=MIDDLE  ALT=\"158.4=4.9t%5E2+%2B+20t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I got as far as 4.9t^2 + 20t - 158.4=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201758 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=201758\">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=4.9t%5E2+%2B+20t+-+158.4=0 ALIGN=MIDDLE  ALT=\"4.9t%5E2+%2B+20t+-+158.4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49t%5E2+%2B+200t+-+1584=0 ALIGN=MIDDLE  ALT=\"49t%5E2+%2B+200t+-+1584=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply every term by 10 to make every number a whole number (ie move the decimal one spot to the right).\r<BR>\n" );
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document.write( "Notice that the quadratic <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49t%5E2%2B200t-1584 ALIGN=MIDDLE  ALT=\"49t%5E2%2B200t-1584\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=At%5E2%2BBt%2BC ALIGN=MIDDLE  ALT=\"At%5E2%2BBt%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=49 ALIGN=MIDDLE  ALT=\"A=49\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=200 ALIGN=MIDDLE  ALT=\"B=200\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=-1584 ALIGN=MIDDLE  ALT=\"C=-1584\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's use the quadratic formula to solve for \"t\":\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 ALIGN=MIDDLE  ALT=\"t+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-%28200%29+%2B-+sqrt%28+%28200%29%5E2-4%2849%29%28-1584%29+%29%29%2F%282%2849%29%29 ALIGN=MIDDLE  ALT=\"t+=+%28-%28200%29+%2B-+sqrt%28+%28200%29%5E2-4%2849%29%28-1584%29+%29%29%2F%282%2849%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=49 ALIGN=MIDDLE  ALT=\"A=49\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=200 ALIGN=MIDDLE  ALT=\"B=200\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=-1584 ALIGN=MIDDLE  ALT=\"C=-1584\"   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=t+=+%28-200+%2B-+sqrt%28+40000-4%2849%29%28-1584%29+%29%29%2F%282%2849%29%29 ALIGN=MIDDLE  ALT=\"t+=+%28-200+%2B-+sqrt%28+40000-4%2849%29%28-1584%29+%29%29%2F%282%2849%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200 ALIGN=MIDDLE  ALT=\"200\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40000 ALIGN=MIDDLE  ALT=\"40000\"   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=t+=+%28-200+%2B-+sqrt%28+40000--310464+%29%29%2F%282%2849%29%29 ALIGN=MIDDLE  ALT=\"t+=+%28-200+%2B-+sqrt%28+40000--310464+%29%29%2F%282%2849%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2849%29%28-1584%29 ALIGN=MIDDLE  ALT=\"4%2849%29%28-1584%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-310464 ALIGN=MIDDLE  ALT=\"-310464\"   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=t+=+%28-200+%2B-+sqrt%28+40000%2B310464+%29%29%2F%282%2849%29%29 ALIGN=MIDDLE  ALT=\"t+=+%28-200+%2B-+sqrt%28+40000%2B310464+%29%29%2F%282%2849%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2840000--310464%29 ALIGN=MIDDLE  ALT=\"sqrt%2840000--310464%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2840000%2B310464%29 ALIGN=MIDDLE  ALT=\"sqrt%2840000%2B310464%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=t+=+%28-200+%2B-+sqrt%28+350464+%29%29%2F%282%2849%29%29 ALIGN=MIDDLE  ALT=\"t+=+%28-200+%2B-+sqrt%28+350464+%29%29%2F%282%2849%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40000 ALIGN=MIDDLE  ALT=\"40000\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=310464 ALIGN=MIDDLE  ALT=\"310464\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350464 ALIGN=MIDDLE  ALT=\"350464\"   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=t+=+%28-200+%2B-+sqrt%28+350464+%29%29%2F%2898%29 ALIGN=MIDDLE  ALT=\"t+=+%28-200+%2B-+sqrt%28+350464+%29%29%2F%2898%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49 ALIGN=MIDDLE  ALT=\"49\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=98 ALIGN=MIDDLE  ALT=\"98\"   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=t+=+%28-200+%2B-+592%29%2F%2898%29 ALIGN=MIDDLE  ALT=\"t+=+%28-200+%2B-+592%29%2F%2898%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350464 ALIGN=MIDDLE  ALT=\"350464\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=592 ALIGN=MIDDLE  ALT=\"592\"   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=t+=+%28-200+%2B+592%29%2F%2898%29 ALIGN=MIDDLE  ALT=\"t+=+%28-200+%2B+592%29%2F%2898%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-200+-+592%29%2F%2898%29 ALIGN=MIDDLE  ALT=\"t+=+%28-200+-+592%29%2F%2898%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the expression. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28392%29%2F%2898%29 ALIGN=MIDDLE  ALT=\"t+=+%28392%29%2F%2898%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=++%28-792%29%2F%2898%29 ALIGN=MIDDLE  ALT=\"t+=++%28-792%29%2F%2898%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+4 ALIGN=MIDDLE  ALT=\"t+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+-396%2F49 ALIGN=MIDDLE  ALT=\"t+=+-396%2F49\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \r<BR>\n" );
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document.write( "So the possible solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+4 ALIGN=MIDDLE  ALT=\"t+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+-396%2F49 ALIGN=MIDDLE  ALT=\"t+=+-396%2F49\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "However, since a negative time value doesn't make any sense, we must ignore the value <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+-396%2F49 ALIGN=MIDDLE  ALT=\"t+=+-396%2F49\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the only solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+4 ALIGN=MIDDLE  ALT=\"t+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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