document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34172>Question 34172</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618391894/algebrahomeworkh>Algebra Beginning and Intermediate</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need help with the following 2 questions...\r<BR>\n" );
document.write( "\n" );
document.write( "1. Solve by extracing square roots: 3x^2-80=0<BR>\n" );
document.write( "I figured this was it, can you check the work?<BR>\n" );
document.write( "3x^2 - 80 = 0<BR>\n" );
document.write( "3x^2 = 80<BR>\n" );
document.write( "3x^2/3 = 80/3<BR>\n" );
document.write( "x^2 = 80/3<BR>\n" );
document.write( "sq root of x^2 = sq root of 80/3<BR>\n" );
document.write( "Answer - x=sq root of (= or -)80/3??  Does the (+ or -) have to be there?\r<BR>\n" );
document.write( "\n" );
document.write( "2. Solve by extracting square roots: (2x-2)^2 = 9<BR>\n" );
document.write( "sq root of (2x-2)^2 = sq root of 9<BR>\n" );
document.write( "2x-2 = (+ or -)3<BR>\n" );
document.write( "This is where I am confused...  is the next step dividing it all by 2, or taking the -2 to the other side of the problem?  Could you please help me get though this one?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20466 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=20466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a duplicate of Problem number 34173\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Not too bad ... you just need to keep going ...\r<BR>\n" );
document.write( "\n" );
document.write( "Problem 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%5E2+-+80+=+0+ ALIGN=MIDDLE  ALT=\"+3x%5E2+-+80+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%5E2+=+80+ ALIGN=MIDDLE  ALT=\"+3x%5E2+=+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%5E2%2F3+=+80%2F3+ ALIGN=MIDDLE  ALT=\"+3x%5E2%2F3+=+80%2F3+\"   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+=+80%2F3+ ALIGN=MIDDLE  ALT=\"+x%5E2+=+80%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now when you square root the fraction .. you will get a denominator with a square root in it ... That is a BIG NO-NO!!!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28x%5E2%29+=+sqrt%2880%2F3%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28x%5E2%29+=+sqrt%2880%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+sqrt%2880%29%2Fsqrt%283%29+ ALIGN=MIDDLE  ALT=\"+x+=+sqrt%2880%29%2Fsqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To rationalize the denominator we need to multiply the numerator and denominator by root3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28sqrt%2880%29%29%28sqrt%283%29%29%2F%28sqrt%283%29%29%28sqrt%283%29%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28sqrt%2880%29%29%28sqrt%283%29%29%2F%28sqrt%283%29%29%28sqrt%283%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+sqrt%28240%29%2F3+ ALIGN=MIDDLE  ALT=\"+x+=+sqrt%28240%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4%28sqrt%2815%29%29%2F3+ ALIGN=MIDDLE  ALT=\"+x+=+4%28sqrt%2815%29%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And yes ... it is +-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4%28sqrt%2815%29%29%2F3+ ALIGN=MIDDLE  ALT=\"+x+=+4%28sqrt%2815%29%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Done.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Problem 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x-2%29%5E2+=+9+ ALIGN=MIDDLE  ALT=\"+%282x-2%29%5E2+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "yes ... root both sides<BR>\n" );
document.write( "here you will have two roots... one positive ... one negative<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x-2+=+3+ ALIGN=MIDDLE  ALT=\"+2x-2+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x-2+=+-3+ ALIGN=MIDDLE  ALT=\"+2x-2+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ADD 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+5+ ALIGN=MIDDLE  ALT=\"+2x+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+-1+ ALIGN=MIDDLE  ALT=\"+2x+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+5%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-1%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+-1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When solving for a given variable .... we work PEMDAS backwards ... doing the adding and subtracting first ... and then the multiplying and dividing<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );