document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173614>Question 173614</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation\r<BR>\n" );
document.write( "\n" );
document.write( "sqrt (2x + 3) - sqrt (x + 1) = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128483 by </B><A HREF=/tutors/aboutme.mpl?userid=303795><B>303795(602)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=303795><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=128483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"sqrt+%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to each side of the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%282x+%2B+3%29+-+sqrt+%28x+%2B+1%29%2B+sqrt+%28x+%2B+1%29+=+1+%2B+sqrt+%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"sqrt+%282x+%2B+3%29+-+sqrt+%28x+%2B+1%29%2B+sqrt+%28x+%2B+1%29+=+1+%2B+sqrt+%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%282x+%2B+3%29+=+1+%2B+sqrt+%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"sqrt+%282x+%2B+3%29+=+1+%2B+sqrt+%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square each side of the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+%2B+3%29+=+1+%2B+2%2Asqrt+%28x+%2B+1%29+%2B+%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%282x+%2B+3%29+=+1+%2B+2%2Asqrt+%28x+%2B+1%29+%2B+%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+3+-+1+-+%28x+%2B+1%29+=+1+%2B+2%2Asqrt+%28x+%2B+1%29+%2B+%28x%2B1%29+-+1+-%28x%2B1%29 ALIGN=MIDDLE  ALT=\"2x+%2B+3+-+1+-+%28x+%2B+1%29+=+1+%2B+2%2Asqrt+%28x+%2B+1%29+%2B+%28x%2B1%29+-+1+-%28x%2B1%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+%2B+1++=+2%2Asqrt+%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"x+%2B+1++=+2%2Asqrt+%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square each side of the equation again<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+%2B+1+=+4%2A%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+%2B+1+=+4%2A%28x+%2B+1%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%5E2+%2B+2x+%2B+1+=+4x+%2B+4 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+%2B+1+=+4x+%2B+4\"   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+-+2x+-+3+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+2x+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+1%29+%28x+-+3%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+%2B+1%29+%28x+-+3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ie x = -1 or x = 3<BR>\n" );
document.write( "Substitute back into the original equation and test if they both work.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );