document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44416>Question 44416</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618313850/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help with this.\r<BR>\n" );
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document.write( "Find all solutions of the equation. check your solutions in the original equation.\r<BR>\n" );
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document.write( "x + the square root of 31-9x = 5\r<BR>\n" );
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document.write( "31-9x is under the square root symbol\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29328 by </B><A HREF=/tutors/aboutme.mpl?userid=adamchapman><B>adamchapman(301)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamchapman><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=29328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+sqrt%2831-9x%29+=+5 ALIGN=MIDDLE  ALT=\"x+%2B+sqrt%2831-9x%29+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Rearrang so the square root is the only term on the right hand side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-xsqrt%2831-9x%29 ALIGN=MIDDLE  ALT=\"5-xsqrt%2831-9x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now square both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285-x%29%5E2=31-9x ALIGN=MIDDLE  ALT=\"%285-x%29%5E2=31-9x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use FOIL to expand the left hand side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25-10x%2Bx%5E2=31-9x ALIGN=MIDDLE  ALT=\"25-10x%2Bx%5E2=31-9x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rearrange to give a quadratic expression with zero on the right hand side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-10x%2B9x%2B25-31=0 ALIGN=MIDDLE  ALT=\"x%5E2-10x%2B9x%2B25-31=0\"   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-x-6=0 ALIGN=MIDDLE  ALT=\"x%5E2-x-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factorise:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x-3%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So  the solutions are x=-2 or x=3.<BR>\n" );
document.write( "I have plotted the curve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x+%2B+sqrt%2831-9x%29 ALIGN=MIDDLE  ALT=\"y=x+%2B+sqrt%2831-9x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Below. Note thet the solutions occur when the red line intersects the green line, when x=-2 and when x=3. This proves The solutions are accurate.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-3%2C+3.4%2C+-1%2C+6%2C+x+%2B+sqrt%2831-9x%29%2C+5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-3%2C+3.4%2C+-1%2C+6%2C+x+%2B+sqrt%2831-9x%29%2C+5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "I hope this helps.<BR>\n" );
document.write( "I am currently constructing my own homework help website, and would greatly appreciate any feedback on the help you recieved to my email address: adam.chapman@student.manchester.ac.uk\r<BR>\n" );
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document.write( "Adam \r<BR>\n" );
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document.write( " </SPAN>\n" );
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