document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82604>Question 82604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for real roots:   sqrt(2x^2+x-12)=x\r<BR>\n" );
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document.write( "this is not a text book, just on paper, I do not understand it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59193 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=59193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sqrt(2x^2+x-12)=x<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "2x^2+x-12 = x^2<BR>\n" );
document.write( "x^2+x-12 = 0<BR>\n" );
document.write( "(x+4)(x-3)=0<BR>\n" );
document.write( "x= -4 or x=3<BR>\n" );
document.write( "Checking in the original equation:<BR>\n" );
document.write( "If x=-4: sqrt(32-4-12)=sqrt16 = -4<BR>\n" );
document.write( "No; that is wrong so x=-4 is not a solution.<BR>\n" );
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document.write( "sqrt(2*9+3-12)= sqrt(9)=3<BR>\n" );
document.write( "Right; x=3 is a solution.<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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