document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127312>Question 1127312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square.<BR>\n" );
document.write( "(When I do this, I get a LOT of fractions. I feel like I'm missing something big in this problem.)\r<BR>\n" );
document.write( "\n" );
document.write( "8x^2+10x=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743702 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "You are likely to get fractions when completing the square, except in \"nice\" problems....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2%2B10x+=+3 ALIGN=MIDDLE  ALT=\"8x%5E2%2B10x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Factor out the leading coefficient:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%28x%5E2%2B%285%2F4%29x%29+=+3 ALIGN=MIDDLE  ALT=\"8%28x%5E2%2B%285%2F4%29x%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Take half the coefficient of the x term (5/8), square it (25/64), and add 25/64 in the parentheses on the left, to complete the square.  Note that you added 8*25/64 = 25/8 on the left side of the equation, so you need to add 25/8 on the right to keep the equation balanced.<br><BR>\n" );
document.write( "(Note that the only time you will NOT get fractions in the process of completing the square is when half the coefficient of x is an integer.)<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%28x%5E2%2B%285%2F4%29x%2B25%2F64%29+=+3%2B25%2F8 ALIGN=MIDDLE  ALT=\"8%28x%5E2%2B%285%2F4%29x%2B25%2F64%29+=+3%2B25%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Write the expression in parentheses as the square of a binomial, and simplify the expression on the right:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%28x%2B%285%2F8%29%29%5E2+=+49%2F8 ALIGN=MIDDLE  ALT=\"8%28x%2B%285%2F8%29%29%5E2+=+49%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Divide by 8 to get the squared binomial by itself:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%285%2F8%29%5E2+=+49%2F64 ALIGN=MIDDLE  ALT=\"x%2B%285%2F8%29%5E2+=+49%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Take the square root of both sides, getting both positive and negative roots on the right:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5%2F8+=+7%2F8 ALIGN=MIDDLE  ALT=\"x%2B5%2F8+=+7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5%2F8+=+-7%2F8 ALIGN=MIDDLE  ALT=\"x%2B5%2F8+=+-7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve the two equations to find the two roots of the original equation:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2%2F8+=+1%2F4 ALIGN=MIDDLE  ALT=\"x+=+2%2F8+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-12%2F8+=+-3%2F2 ALIGN=MIDDLE  ALT=\"x+=+-12%2F8+=+-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The two roots of the equation are 1/4 and -3/2. </SPAN>\n" );
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