document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765635>Question 765635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two numbers is 4 and the difference of the squares of those two numbers is 1. Find the two numbers.\r<BR>\n" );
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document.write( "I think the two equations are:<BR>\n" );
document.write( "Let the numbers be x and y<BR>\n" );
document.write( "x(square) + y(square) = 4<BR>\n" );
document.write( "x(square) - y(square) = 1\r<BR>\n" );
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document.write( "That is the equations that i got but the answer is a decimal...<BR>\n" );
document.write( "I'm also not sure about the answer and the equation... please help\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466291 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you got the equations right.<BR>\n" );
document.write( "all you had to do was solve them simultaneously.<BR>\n" );
document.write( "your equations are:<BR>\n" );
document.write( "x^2 + y^2 = 4 (e1)<BR>\n" );
document.write( "x^2 - y^2 = 1 (e2)<BR>\n" );
document.write( "add e1 to e2 to get:<BR>\n" );
document.write( "2x^2 = 5<BR>\n" );
document.write( "divide both sides of this equation by 2 to get:<BR>\n" );
document.write( "x^2 = 5/2<BR>\n" );
document.write( "substitute for x^2 in the first equation to get:<BR>\n" );
document.write( "x^2 + y^2 = 4 becomes:<BR>\n" );
document.write( "5/2 + y^2 = 4<BR>\n" );
document.write( "solve for y^2 to get:<BR>\n" );
document.write( "y^2 = 3/2<BR>\n" );
document.write( "those are your answers.<BR>\n" );
document.write( "x^2 = 5/2 and y^2 = 3/2<BR>\n" );
document.write( "if you take the square root of 5/2, you will get 1.58113883<BR>\n" );
document.write( "if you take the square root of 3/2, you will get 1.224744871<BR>\n" );
document.write( "those are your solutions for x and y<BR>\n" );
document.write( "x = 1.58113883<BR>\n" );
document.write( "y = 1.224744871<BR>\n" );
document.write( "you can then confirm by substituting for x and y in the original equations and those equations should hold true.<BR>\n" );
document.write( "i checked them out and they do.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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