document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=842683>Question 842683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve the equation y=x^2+4x-6 for the variable x. I have tried to find the x values where y is equal to \"0\" and although these two are related, they are not the same problem. I am trying to figure out how x depends on y. What is throwing me off is the x^2. I know that I have to isolate x. I have tried using the quadratic equation formula but the answers I received were wrong (x=-2+sqrt10 and x=-2-sqrt10). Any help would be appreciated. Thank you in advance.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507696 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=507696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Treat y as a constant.  You can then either complete the square to find formulas for x, or you can directly use the general solution to a quadratic equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Again, if y is a constant, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x-6-y=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x-6-y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x-%28y%2B6%29=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x-%28y%2B6%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Use Completion of Square if you want, but if you know the general solution process using it, then you know how to use the result for x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%28-4%2B-+sqrt%2816%2B4%28y%2B6%29%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28-4%2B-+sqrt%2816%2B4%28y%2B6%29%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   ----- I condensed a couple of steps there.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2%2B-+sqrt%284%2By%2B6%29 ALIGN=MIDDLE  ALT=\"x=-2%2B-+sqrt%284%2By%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28x=-2%2B-+sqrt%28y%2B10%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28x=-2%2B-+sqrt%28y%2B10%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---- most simplified </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );