document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=621094>Question 621094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when the sum of a number plus 2 is squared, it is 16 more than the square of that number. what is the number?<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 #390592 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=390592\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "This is basically a problem about translating from English to algebraic expressions. We'll just translate piece by piece.<BR>\n" );
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document.write( "Let n be the number we are interested in.<BR>\n" );
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document.write( "In algebra, the phrase \"the sum of the number plus 2 is squared\" is written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"%28n%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "The phrase, \"16 more than the square of the number\" is written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Bn%5E2 ALIGN=MIDDLE  ALT=\"16%2Bn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "These two expressions are equal to each other, so we have the equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B2%29%5E2=16%2Bn%5E2 ALIGN=MIDDLE  ALT=\"%28n%2B2%29%5E2=16%2Bn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We solve for n to find the number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B4n%2B4=16%2Bn%5E2 ALIGN=MIDDLE  ALT=\"n%5E2%2B4n%2B4=16%2Bn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify by combining like terms. Subtract n^2 from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n%2B4=16 ALIGN=MIDDLE  ALT=\"4n%2B4=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Subtract 4 from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n=12 ALIGN=MIDDLE  ALT=\"4n=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=3 ALIGN=MIDDLE  ALT=\"n=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "In the context of this problem, n=3 means that the number is 3. <BR>\n" );
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document.write( "We need to check our answer using the information in the original problem.<BR>\n" );
document.write( "\"The sum of 3 plus 2 is squared\" gives us 5-squared, or 25.<BR>\n" );
document.write( "\"16 more than 3-squared gives us 16 plus 9, or 25.<BR>\n" );
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document.write( "Our answer is correct because both sides of the equation are equal. The number is 3.<BR>\n" );
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document.write( "Hope this helps! Feel free to email me if you have questions about this solution.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com\r<BR>\n" );
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document.write( "when the sum of a number plus 2 is squared, it is 16 more than the square of that number. what is the number? </SPAN>\n" );
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