document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90161>Question 90161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by completing the square\r<BR>\n" );
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document.write( "4x^2+2x-3=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65434 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=65434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^2+2x-3=0<BR>\n" );
document.write( "Rewrite as follows:<BR>\n" );
document.write( "4(x^2+(1/2)x+?) = 3+4*?<BR>\n" );
document.write( "Complete the square on the left and keep the equation balanced.<BR>\n" );
document.write( "4(x^2+(1/2)x+(1/4)^2) = 3 + 4*(1/4)^2<BR>\n" );
document.write( "Factor the left and simplify the right.<BR>\n" );
document.write( "4(x+(1/2))^2 = 3+1/4<BR>\n" );
document.write( "Divide both sides by 4<BR>\n" );
document.write( "(x+(1/2)^2 = 13/16<BR>\n" );
document.write( "Take the square root of both sides.<BR>\n" );
document.write( "(x+(1/2)) = [sqrt13]/4 or x+(1/2) = -[sqrt13]/4<BR>\n" );
document.write( "Rearrange and solve for x:<BR>\n" );
document.write( "x = -(1/2)+[sqrt13]/4 or x = -(1/2)-[sqrt13]/4\r<BR>\n" );
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document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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