document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935704>Question 935704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a^2+b^2+c^2 If a+b=c+6 and ab-ac=bc-1 please help me to solve this kind of math problem I am really eager to know how to solve it . I just know that the answer is 38 But how ? Thank you in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568987 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=568987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Focus on the second equation and get all the variable terms to one side\r<BR>\n" );
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document.write( "ab-ac=bc-1\r<BR>\n" );
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document.write( "ab-ac-bc=-1 <font color=\"red\">equation 1</font>\r<BR>\n" );
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document.write( "Move onto the second equation, subtract c from both sides, and square both sides<BR>\n" );
document.write( "Do a bit more work and isolate a^2+b^2+c^2 like so...\r<BR>\n" );
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document.write( "a+b=c+6\r<BR>\n" );
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document.write( "a+b-c=6\r<BR>\n" );
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document.write( "(a+b-c)^2=6^2\r<BR>\n" );
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document.write( "(a+b-c)(a+b-c)=36\r<BR>\n" );
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document.write( "a(a+b-c)+b(a+b-c)-c(a+b-c)=36\r<BR>\n" );
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document.write( "a^2+ab-ac+ab+b^2-bc-ac-bc+c^2=36\r<BR>\n" );
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document.write( "a^2+b^2+c^2+ab-ac+ab-bc-ac-bc=36\r<BR>\n" );
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document.write( "a^2+b^2+c^2+2ab-2ac-2bc=36\r<BR>\n" );
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document.write( "a^2+b^2+c^2+2(ab-ac-bc)=36\r<BR>\n" );
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document.write( "a^2+b^2+c^2+2(-1)=36 ... replace ab-ac-bc with -1 (see <font color=\"red\">equation 1</font>)\r<BR>\n" );
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document.write( "a^2+b^2+c^2-2=36\r<BR>\n" );
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document.write( "a^2+b^2+c^2=36+2\r<BR>\n" );
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document.write( "a^2+b^2+c^2=38 </SPAN>\n" );
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