document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818755>Question 818755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square.. What value should you add to each side of the equation?\r<BR>\n" );
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document.write( "x^2+2x=-6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492767 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=492767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 + 2x = -6<BR>\n" );
document.write( "x^2 + 2x + 6 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=1, b=2, and c=6<BR>\n" );
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document.write( "to solve the quadratic equation by using the quadratic formula, plug this:<BR>\n" );
document.write( "1 2 6<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "this quadratic has complex roots:<BR>\n" );
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document.write( "the two complex roots of the quadratic are:<BR>\n" );
document.write( "x = -1 + (2.23606798)i<BR>\n" );
document.write( "x = -1 - (2.23606798)i<BR>\n" );
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document.write( "check this result by completing the square:<BR>\n" );
document.write( "x^2 + 2x = -6<BR>\n" );
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document.write( "convert to the complete-square form:<BR>\n" );
document.write( "a(x + d)^2 + e = 0<BR>\n" );
document.write( "where:<BR>\n" );
document.write( "d = b/(2a) = 2/2 = 1<BR>\n" );
document.write( "e = c - (b^2/(4a)) = 6 - (4/4) = 5<BR>\n" );
document.write( "a=1, b=2, c=6<BR>\n" );
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document.write( "a(x + d)^2 + e = 0<BR>\n" );
document.write( "(x + d)^2 = -e<BR>\n" );
document.write( "(x + 1)^2 = -5<BR>\n" );
document.write( "x + 1 = sqrt( -5 )<BR>\n" );
document.write( "x + 1 = (2.23606798)i<BR>\n" );
document.write( "x + 1 - (2.23606798)i = 0<BR>\n" );
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document.write( "x + (1 - (2.23606798)i) = 0<BR>\n" );
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document.write( "the roots of the above equation are:<BR>\n" );
document.write( "x = -1 + (2.23606798)i<BR>\n" );
document.write( "x = -1 - (2.23606798)i<BR>\n" );
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document.write( "which match the roots obtained from the quadratic formula method above !<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
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document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
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document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
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document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
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