document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88215>Question 88215</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the solution for: radical (2y + 7) + 4 = y<BR>\n" );
document.write( "I've started my solution by getting the radical by itself creating: radical (2y+7) = y - 4. Then I square both sides so I can remove the radical and end up with: 2y + 7 = y^2 - 8y + 16 from here on out I'm lost. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64058 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=64058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are correct so far.  What you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+%2B+7+=+y%5E2+-+8y+%2B+16+ ALIGN=MIDDLE  ALT=\"2y+%2B+7+=+y%5E2+-+8y+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a quadratic equation.  You must set it equal to zero, and solve for y.  It's probably best to subtract 2y and 7 from each side:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+%2B+7+=+y%5E2+-+8y+%2B+16+ ALIGN=MIDDLE  ALT=\"2y+%2B+7+=+y%5E2+-+8y+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+%2B+7-2y-7+=+y%5E2+-+8y+%2B+16+-2y-7 ALIGN=MIDDLE  ALT=\"2y+%2B+7-2y-7+=+y%5E2+-+8y+%2B+16+-2y-7\"   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=0=y%5E2+-10y%2B+9+ ALIGN=MIDDLE  ALT=\"0=y%5E2+-10y%2B+9+\"   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=0=%28y-9%29%28y-1%29+ ALIGN=MIDDLE  ALT=\"0=%28y-9%29%28y-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y= 9 or y = 1\r<BR>\n" );
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document.write( "Now, check the answers to make sure you don't have any extraneous roots (that is, extra solutions that don't really work 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%282y+%2B+7%29+%2B+4+=+y ALIGN=MIDDLE  ALT=\"sqrt%282y+%2B+7%29+%2B+4+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If y=9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%2A9+%2B+7%29+%2B+4+=+9 ALIGN=MIDDLE  ALT=\"sqrt%282%2A9+%2B+7%29+%2B+4+=+9\"   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=sqrt%2825%29+%2B+4+=+9 ALIGN=MIDDLE  ALT=\"sqrt%2825%29+%2B+4+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >  This one checks!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282y+%2B+7%29+%2B+4+=+y ALIGN=MIDDLE  ALT=\"sqrt%282y+%2B+7%29+%2B+4+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If y=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%2A1+%2B+7%29+%2B+4+=+1 ALIGN=MIDDLE  ALT=\"sqrt%282%2A1+%2B+7%29+%2B+4+=+1\"   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=sqrt%289%29+%2B+4+=+1 ALIGN=MIDDLE  ALT=\"sqrt%289%29+%2B+4+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  This one does NOT check!  Reject this answer.  \r<BR>\n" );
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document.write( "The only solution is y=9.\r<BR>\n" );
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document.write( "I have a page for this on my website, if you want to click on my tutor name \"Rapaljer\" anywhere in algebra.com, go to my MATH IN LIVING COLOR page, and in Intermediate Algebra, look for Radical Equations in Chapter 3.  In College Algebra, look for Radical Equations in Chapter 1.  I hope this is helpful. \r<BR>\n" );
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document.write( "R^2\r<BR>\n" );
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document.write( " </SPAN>\n" );
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