document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238110>Question 238110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please show how to solve t squared minus seventeen equals 2t </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174984 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=174984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> t^2 - 17 = 2t\r<BR>\n" );
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document.write( "subtract 2t from both sides of the equation to get:\r<BR>\n" );
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document.write( "t^2 - 2t - 17 = 0\r<BR>\n" );
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document.write( "that's a quadratic equation.\r<BR>\n" );
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document.write( "it doesn't look like it will factor, so use the quadratic formula to solve it.\r<BR>\n" );
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document.write( "the quadratic formula is:\r<BR>\n" );
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document.write( "x = -b +/- sqrt(b^2-4ac)/2a\r<BR>\n" );
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document.write( "standard form of the quadratic equation is ax^2 + bx + c\r<BR>\n" );
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document.write( "in your equation of t^2 - 2t - 17 = 0, replace t with x to make it:\r<BR>\n" );
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document.write( "x^2 - 2x - 17 = 0\r<BR>\n" );
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document.write( "a = coefficient of x^2 term = 1<BR>\n" );
document.write( "b = coefficient of x term = -2<BR>\n" );
document.write( "c = constant term = -17\r<BR>\n" );
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document.write( "substitute in quadratic formula of:\r<BR>\n" );
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document.write( "x = -b +/- sqrt(b^2-4ac)/2a to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-2%29+%2B-+sqrt%28%28-2%29%5E2+-+%284%2A1%2A%28-17%29%29%29%29+%2F+2 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-2%29+%2B-+sqrt%28%28-2%29%5E2+-+%284%2A1%2A%28-17%29%29%29%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282+%2B-+sqrt%2872%29%29+%2F+2 ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+sqrt%2872%29%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x = 5.242640687 or x = -3.242640687\r<BR>\n" );
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document.write( "to confirm these values are true, substitute in the original equation and solve.\r<BR>\n" );
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document.write( "both values substituted and confirmed the original equations so the answers are good.\r<BR>\n" );
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document.write( "a graph of this equation looks like:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28400%2C400%2C-10%2C10%2C-20%2C20%2Cx%5E2+-2x+-+17%29 ALIGN=MIDDLE  ALT=\"graph+%28400%2C400%2C-10%2C10%2C-20%2C20%2Cx%5E2+-2x+-+17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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