document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221155>Question 221155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have an equation (2x^2)-7=0. The answer I have been given is the square root of 14 over 2. I'm unsure why. Could you walk me through the steps please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165947 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x^2 -7=0\r<BR>\n" );
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document.write( "2x^2 =7<BR>\n" );
document.write( "x^2=7/2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0%2B-sqrt%287%2F2%29 ALIGN=MIDDLE  ALT=\"x=0%2B-sqrt%287%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0%2B-sqrt%287%29%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"x=0%2B-sqrt%287%29%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The trick now is to rationalize the denominator, by multiplying numerator and denominator by square root of 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0%2B-sqrt%287%29%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"x=0%2B-sqrt%287%29%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sqrt%282%29%29%2F%28sqrt%282%29%29%29+++ ALIGN=MIDDLE  ALT=\"%28%28sqrt%282%29%29%2F%28sqrt%282%29%29%29+++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0%2B-sqrt%2814%29%2F2 ALIGN=MIDDLE  ALT=\"x=0%2B-sqrt%2814%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 </SPAN>\n" );
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