document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264878>Question 264878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following equation for ALL SOLUTIONS <BR>\n" );
document.write( "x^2-10x= -9 <BR>\n" );
document.write( "using the QUADRATIC FORMULA and INCLUDING AT LEAST THE FIRST TWO MIDDLE STEPS </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194898 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=194898\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation is:\r<BR>\n" );
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document.write( "x^2-10x= -9 \r<BR>\n" );
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document.write( "add 9 to both sides of this equation to get it into standard form.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "x^2 - 10x + 9 = 0\r<BR>\n" );
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document.write( "standard form of the quadratic equation is ax^2 + bx + c = 0\r<BR>\n" );
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document.write( "this means that:\r<BR>\n" );
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document.write( "a = 1<BR>\n" );
document.write( "b = -10<BR>\n" );
document.write( "c = 9\r<BR>\n" );
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document.write( "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( "this becomes:\r<BR>\n" );
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document.write( "(-(-10) +- sqrt((-10)^2 - 4*1*9)/(2*1)\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( "(10 +- sqrt(100-36))/2\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( "(10 +- sqrt(64))/2\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( "(10 +- 8)/2\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( "18/2 = 9\r<BR>\n" );
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document.write( "or:\r<BR>\n" );
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document.write( "2/2 = 1\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "x = 9 or x = 1\r<BR>\n" );
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document.write( "substitute in original equation to see if these values are good.\r<BR>\n" );
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document.write( "original equation is:\r<BR>\n" );
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document.write( "x^2 - 10x = -9\r<BR>\n" );
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document.write( "when x = 9, this becomes:\r<BR>\n" );
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document.write( "81 - 90 = -9 which becomes -9 = -9 which is true.\r<BR>\n" );
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document.write( "when x = 1, this becomes:\r<BR>\n" );
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document.write( "1 - 10 = -9 = -9 which is also true.\r<BR>\n" );
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document.write( "the values are confirmed to be good.\r<BR>\n" );
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document.write( "your solutions are:\r<BR>\n" );
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document.write( "x = 9 and x = 1\r<BR>\n" );
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document.write( "these are the real roots of this equation which means that the graph of the equation crosses the x-axis at these points.\r<BR>\n" );
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document.write( "a graph of your equation looks like this:\r<BR>\n" );
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document.write( " </SPAN>\n" );
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