document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68462>Question 68462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having trouble solving the following equation:<BR>\n" );
document.write( "square root of (3x-2) + square root of (2x+2) + 1 = 0. My major problem is coming from the fact that I'm getting stuck on isoloating the radical, and I'm a little confused on where to place 1. Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48700 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=48700\">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=sqrt%283x-2%29%2Bsqrt%282x%2B2%29%2B1=0 ALIGN=MIDDLE  ALT=\"sqrt%283x-2%29%2Bsqrt%282x%2B2%29%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  First thing that you want to do is get rid of the radicals by squaring both sides but before you do that you want to rearrange the terms on either side of the equal sign in a manner that simplifies that process.  Sometimes you will need to square both sides more than once.  Lets move the 1 to the right side of the equal sign by subtracting 1 from both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x-2%29%2Bsqrt%282x%2B2%29=-1 ALIGN=MIDDLE  ALT=\"sqrt%283x-2%29%2Bsqrt%282x%2B2%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Now lets square both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-2%29%2B2sqrt%28%282x%2B2%29%283x-2%29%29%2B%282x%2B2%29=%2B1 ALIGN=MIDDLE  ALT=\"%283x-2%29%2B2sqrt%28%282x%2B2%29%283x-2%29%29%2B%282x%2B2%29=%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Lets collect like terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B2sqrt%28%282x%2B2%29%283x-2%29%29=%2B1 ALIGN=MIDDLE  ALT=\"5x%2B2sqrt%28%282x%2B2%29%283x-2%29%29=%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >    Now we will subtract 5x from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28%282x%2B2%29%283x-2%29%29=1-5x ALIGN=MIDDLE  ALT=\"2sqrt%28%282x%2B2%29%283x-2%29%29=1-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Next lets square both sides again\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%282x%2B2%29%283x-2%29=1-10x%2B25x%5E2 ALIGN=MIDDLE  ALT=\"4%282x%2B2%29%283x-2%29=1-10x%2B25x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Simplifying some we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%28x%2B1%29%283x-2%29=1-10x%2B25x%5E2 ALIGN=MIDDLE  ALT=\"8%28x%2B1%29%283x-2%29=1-10x%2B25x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >    Next lets clear parens\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24x%5E2%2B8x-16=1-10x%2B25x%5E2 ALIGN=MIDDLE  ALT=\"24x%5E2%2B8x-16=1-10x%2B25x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1 and 25x^2 from and add 10x to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24x%5E2-25x%5E2%2B10x%2B8x-16-1=0 ALIGN=MIDDLE  ALT=\"24x%5E2-25x%5E2%2B10x%2B8x-16-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Collecting like terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B18x-17=0 ALIGN=MIDDLE  ALT=\"-x%5E2%2B18x-17=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Multiply through by -1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-18x%2B17=0 ALIGN=MIDDLE  ALT=\"x%5E2-18x%2B17=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ---------quadratic in standard form\r<BR>\n" );
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document.write( "This quadratic can be factored:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x-17%29=0 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x-17%29=0\"   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=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=17 ALIGN=MIDDLE  ALT=\"x=17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "ck\r<BR>\n" );
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document.write( "substitute 1 in the original equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x-2%29%2Bsqrt%282x%2B2%29%2B1=0 ALIGN=MIDDLE  ALT=\"sqrt%283x-2%29%2Bsqrt%282x%2B2%29%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  equals\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283-2%29%2Bsqrt%282%2B2%29%2B1=0 ALIGN=MIDDLE  ALT=\"sqrt%283-2%29%2Bsqrt%282%2B2%29%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this equals<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%29%2Bsqrt%284%29%2B1=0 ALIGN=MIDDLE  ALT=\"sqrt%281%29%2Bsqrt%284%29%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(+or-1)+(+or-2)+1=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B1-2%2B1=0 ALIGN=MIDDLE  ALT=\"%2B1-2%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "verify that it also checks for x=17\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );