document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81000>Question 81000</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can i please have help to solve this?<BR>\n" );
document.write( "(x-1)^2=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58101 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=58101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2=5 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Square the left side and the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+2x+%2B1+=+5 ALIGN=MIDDLE  ALT=\"x%5E2+-+2x+%2B1+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then get this equation into standard quadratic form by eliminating the 5 on the right side<BR>\n" );
document.write( "so that the right side becomes 0.  Do this by subtracting 5 from both sides.  When you do<BR>\n" );
document.write( "that subtraction the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+2x+-+4+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+2x+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The left side of this equation does not factor nicely. So use the quadratic formula. This<BR>\n" );
document.write( "formula says that for a quadratic equation of the standard form:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The values of x that satisfy this equation are given by the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "By comparing our equation with the standard form you can see that a = 1, b = -2, and c = -4.<BR>\n" );
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document.write( "By substituting these values into the equation that defines the values of x you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-2%29%2B-sqrt%28%28-2%29%5E2+-4%281%29%28-4%29%29%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-2%29%2B-sqrt%28%28-2%29%5E2+-4%281%29%28-4%29%29%29%2F%282%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282%2B-sqrt%284+%2B+16%29%29%2F2+=+%282%2B-sqrt%2820%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%282%2B-sqrt%284+%2B+16%29%29%2F2+=+%282%2B-sqrt%2820%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2820%29+=+sqrt%284%2A5%29+=+sqrt%284%29%2Asqrt%285%29+=+2%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%2820%29+=+sqrt%284%2A5%29+=+sqrt%284%29%2Asqrt%285%29+=+2%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2820%29 ALIGN=MIDDLE  ALT=\"sqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > reduces the equation for x to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282+%2B-+2%2Asqrt%285%29%29%2F2+=+1%2B-sqrt%285%29 ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+2%2Asqrt%285%29%29%2F2+=+1%2B-sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So this problem has two solutions for x ... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1+%2B+sqrt%285%29 ALIGN=MIDDLE  ALT=\"x+=+1+%2B+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1+-+sqrt%285%29 ALIGN=MIDDLE  ALT=\"x+=+1+-+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you to understand the problem a little better.<BR>\n" );
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