document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622172>Question 622172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the positive root of the equation X^2+15=30 lies between </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391272 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=391272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B15=30 ALIGN=MIDDLE  ALT=\"x%5E2%2B15=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve for x. Subtract 15 from both sides.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=30-15 ALIGN=MIDDLE  ALT=\"x%5E2=30-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=15 ALIGN=MIDDLE  ALT=\"x%5E2=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Take the positive square root of both sides of the equation.  If x^2 equals 15, then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%2815%29 ALIGN=MIDDLE  ALT=\"x=sqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To find which integers the square root of 15 is between, we find the two square numbers closest to 15 (one less than 15 and one greater than 15.} The square numbers are 1, 4, 9, 16, ... <BR>\n" );
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document.write( "15 is between 9 and 16. <BR>\n" );
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document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2815%29 ALIGN=MIDDLE  ALT=\"sqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is between  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%29=3 ALIGN=MIDDLE  ALT=\"sqrt%289%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816%29=4 ALIGN=MIDDLE  ALT=\"sqrt%2816%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the positive root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B15=30 ALIGN=MIDDLE  ALT=\"x%5E2%2B15=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > lies between 3 and 4. </SPAN>\n" );
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