document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087735>Question 1087735</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation by factoring and show the complete step by step solution.<BR>\n" );
document.write( "x^2-2x+2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702032 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=702032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this doesn't factor easily, so you need to use the quadratic formula.\r<BR>\n" );
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document.write( "that formula is:\r<BR>\n" );
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document.write( "               -b plus or minus square root of (b^2 - 4ac)\r\n" );
document.write( "     x =     -----------------------------------------------\r\n" );
document.write( "                               2a\r\n" );
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document.write( "the equation needs to be put in standard form of ax^2 + bx + c = 0\r<BR>\n" );
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document.write( "it's already in standard form.\r<BR>\n" );
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document.write( "this means that a = 1, b = -2, c = 2\r<BR>\n" );
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document.write( "plug those values into the quadratic formula and you get:\r<BR>\n" );
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document.write( "               2 plus or minus square root of (4 - 4*1*2))\r\n" );
document.write( "     x =     -----------------------------------------------\r\n" );
document.write( "                               2*1\r\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "               2 plus or minus square root of (-4)\r\n" );
document.write( "     x =     -----------------------------------------------\r\n" );
document.write( "                               2\r\n" );
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document.write( "square root of (-4) is equal to square root of (4 * (-1)) which is equal to 2 * square root of (-1).\r<BR>\n" );
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document.write( "square root of (-1) is equal to the letter i.\r<BR>\n" );
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document.write( "therefore square root of (-4) is equal to 2*i.\r<BR>\n" );
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document.write( "the value of the equation is equal to 0 when:\r<BR>\n" );
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document.write( "x = (2 + 2*i)/2 or x = (2 - 2*i)/2\r<BR>\n" );
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document.write( "simplify this to get:\r<BR>\n" );
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document.write( "x = 1 + i or x = 1 - i\r<BR>\n" );
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document.write( "use of a quadratic equation solver online confirms the solution is correct, as shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/071503.jpg\" alt = \"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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