document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=52341>Question 52341</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginnning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need some help with this problem.\r<BR>\n" );
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document.write( "Solve by completing the square.\r<BR>\n" );
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document.write( "2x^2+8x+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 #34866 by </B><A HREF=/tutors/aboutme.mpl?userid=sumanth18><B>sumanth18(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sumanth18><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=34866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A typical quadratic equation is of the form : <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E2%2Ax%2Bb%2Ax%2Bc+ ALIGN=MIDDLE  ALT=\"+a%5E2%2Ax%2Bb%2Ax%2Bc+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=0 \r<BR>\n" );
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document.write( "SOlve by completing squares means to rearrange the given quadratic into the neat format demonstrated above.\r<BR>\n" );
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document.write( "To start this we first move the loose number to the other side ,which in our case is 3.<BR>\n" );
document.write( "Therefore we have  \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Ax%5E2%2B+8%2Ax+=+-3+ ALIGN=MIDDLE  ALT=\"+2%2Ax%5E2%2B+8%2Ax+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next we divide through by whatever is multiplied on the squared term,which in our case will be divided by 2.<BR>\n" );
document.write( "Therefore we have the following   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2%2B+4%2Ax+=+-3%2F2+ ALIGN=MIDDLE  ALT=\"+x%5E2%2B+4%2Ax+=+-3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next step, take half of the coefficient (don't forget the sign!) of the x-term, and square it. Add this square to both sides of the equation\r<BR>\n" );
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document.write( "Here the co-efficient of x term in our case is 4 .<BR>\n" );
document.write( "Therefore when we take half of the co-efficient we get 2 and sign is '+'<BR>\n" );
document.write( "SQuaring we get 4  <BR>\n" );
document.write( " adding to both sides we get,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2%2B+4%2Ax+%2B+4++=+-3%2F2+%2B4++ ALIGN=MIDDLE  ALT=\"+x%5E2%2B+4%2Ax+%2B+4++=+-3%2F2+%2B4++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Convert the left-hand side to squared form, and simplify the right-hand side  <BR>\n" );
document.write( "(Hint : This is where the sign that you kept track of earlier comes handy.)       <BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B2%29%5E2++=+-3%2F2+%2B4++ ALIGN=MIDDLE  ALT=\"+%28x%2B2%29%5E2++=+-3%2F2+%2B4++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Taking square root on both sides we get,<BR>\n" );
document.write( " (x+2)=  +- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%282.5%29 ALIGN=MIDDLE  ALT=\"sqrt+%282.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Therefore x = +- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282.5%29 ALIGN=MIDDLE  ALT=\"sqrt%282.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-2 <BR>\n" );
document.write( "Solve for x we get ,<BR>\n" );
document.write( "x= -1.5811-2 and x= 1.5811-2<BR>\n" );
document.write( "i.e x= -3.5811 and x=-0.4189\r<BR>\n" );
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