document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=279624>Question 279624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> need help solving negative b+ or minus square root of b squared - 4ac over 2a </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203259 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=203259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your quadratic formula is:\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your quadratic equation has to be in the form of:\r<BR>\n" );
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document.write( "ax^2 + bx + c = 0\r<BR>\n" );
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document.write( "a is the coefficient of the x^2 term.<BR>\n" );
document.write( "b is the coefficient of the x term.<BR>\n" );
document.write( "c is the constant term.\r<BR>\n" );
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document.write( "you find the values of a,b,c and plug them into the formula.\r<BR>\n" );
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document.write( "an example:\r<BR>\n" );
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document.write( "x^2 - 4x + 3 = 0\r<BR>\n" );
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document.write( "a = 1<BR>\n" );
document.write( "b = -4<BR>\n" );
document.write( "c = 3\r<BR>\n" );
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document.write( "the quadratic formula is:\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if b is equal to -4, then -b is equal to 4.<BR>\n" );
document.write( "if a is equal to 1, then 2a is equal to 2.<BR>\n" );
document.write( "if b is equal to -4, then b^2 is equal to 16.<BR>\n" );
document.write( "if a is equal to 1 and c is equal to 3, then 4ac is equal to 4*1*3 = 12\r<BR>\n" );
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document.write( "you plug these values into your quadratic formula to get:\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%2B-+sqrt%2816-12%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"%284+%2B-+sqrt%2816-12%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "you simplify this equation to get:\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%2B-+sqrt%284%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"%284+%2B-+sqrt%284%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "you simplify this equation further to get:\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%2B-+2%29%2F%282%29 ALIGN=MIDDLE  ALT=\"%284+%2B-+2%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this becomes x = 6/2 = 3, or x = 2/2 = 1\r<BR>\n" );
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document.write( "x is either equal to 1 or x is equal to 3.\r<BR>\n" );
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document.write( "a graph of the equation y = x^2 - 4x + 3 looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Cx%5E2+-+4x+%2B+3%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Cx%5E2+-+4x+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "you can see from the graph that y crosses he x-axis when x = 1 and when x = 3.\r<BR>\n" );
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document.write( "x = 1 and x = 3 are the roots of your equation.\r<BR>\n" );
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document.write( "using the quadratic formula is simply a matter of plugging in the right values for a,b,c in the equation and then solving it.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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