document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39964>Question 39964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help with this one please!\r<BR>\n" );
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document.write( "sqrt2y+7 + 4 = y\r<BR>\n" );
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document.write( "I think I have to start by isolating the y to one side - is that right, and then do I subtract the 4 from both sides to cancel it out on the left?<BR>\n" );
document.write( "Please show me how to figure this!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25366 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=25366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are correct...you have to get the variable y onto one side of the equation.<BR>\n" );
document.write( "But you should use parentheses to clarify the problem;\r<BR>\n" );
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document.write( "Is it sqrt(2y+7) + 4 = y ?<BR>\n" );
document.write( "or is it sqrt(2y) + 7 + 4 = y ?<BR>\n" );
document.write( "or perhaps sqrt(2y+ 7 + 4) = y ?\r<BR>\n" );
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document.write( "I am going to assume that it's:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282y%2B7%29+%2B+4+=+y ALIGN=MIDDLE  ALT=\"sqrt%282y%2B7%29+%2B+4+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4 from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282y%2B7%29+=+y+-+4 ALIGN=MIDDLE  ALT=\"sqrt%282y%2B7%29+=+y+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now square both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2B7+=+%28y-4%29%5E2 ALIGN=MIDDLE  ALT=\"2y%2B7+=+%28y-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2B7+=+y%5E2+-+8y+%2B+16 ALIGN=MIDDLE  ALT=\"2y%2B7+=+y%5E2+-+8y+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2y from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+=+y%5E2+-+10y+%2B+16 ALIGN=MIDDLE  ALT=\"7+=+y%5E2+-+10y+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now subtract 7 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+10y+%2B+9+=+0 ALIGN=MIDDLE  ALT=\"y%5E2+-+10y+%2B+9+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+1%29%28y+-+9%29+=+0 ALIGN=MIDDLE  ALT=\"%28y+-+1%29%28y+-+9%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+1+=+0 ALIGN=MIDDLE  ALT=\"y+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+9+=+0 ALIGN=MIDDLE  ALT=\"y+-+9+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+1+=+0 ALIGN=MIDDLE  ALT=\"y+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1 ALIGN=MIDDLE  ALT=\"y+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+9+=+0 ALIGN=MIDDLE  ALT=\"y+-+9+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+9 ALIGN=MIDDLE  ALT=\"y+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now if youcheck these solutions by substituting y=1 and then y=9 into your original equation, you will find that y=9 works if you use only the positive value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >and y=1 works if you use only the negative value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%29 ALIGN=MIDDLE  ALT=\"sqrt%289%29\"   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%282y%2B7%29+%2B+4+=+y ALIGN=MIDDLE  ALT=\"sqrt%282y%2B7%29+%2B+4+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Try y = 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%289%29%2B7%29+%2B+4+=+9 ALIGN=MIDDLE  ALT=\"sqrt%282%289%29%2B7%29+%2B+4+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2818%2B7%29+%2B+4+=+9 ALIGN=MIDDLE  ALT=\"sqrt%2818%2B7%29+%2B+4+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+%2B+4+=+9 ALIGN=MIDDLE  ALT=\"5+%2B+4+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Only the positive value  of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > works.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282y%2B7%29+%2B+4+=+y ALIGN=MIDDLE  ALT=\"sqrt%282y%2B7%29+%2B+4+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Try y = 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%281%29%2B7%29+%2B+4+=+1 ALIGN=MIDDLE  ALT=\"sqrt%282%281%29%2B7%29+%2B+4+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%2B7%29+%2B+4+=+1 ALIGN=MIDDLE  ALT=\"sqrt%282%2B7%29+%2B+4+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3+%2B+4+=+1 ALIGN=MIDDLE  ALT=\"-3+%2B+4+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Only the negative value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%29 ALIGN=MIDDLE  ALT=\"sqrt%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > works.\r<BR>\n" );
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