document.write( "Question 516282: Find two numbers whose difference is 5 and the difference of their squares is 65 \n" ); document.write( "
Algebra.Com's Answer #344316 by gc2000(22)\"\" \"About 
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x - y = 5
\n" ); document.write( " x^2 - y^2 = 65
\n" ); document.write( " x = 5 + y
\n" ); document.write( "


\n" ); document.write( "using the given:
\n" ); document.write( "x = 5 + y
\n" ); document.write( "square both sides
\n" ); document.write( "x^2 = 25 + 10y + y^2
\n" ); document.write( "x^2 = 65 + y^2
\n" ); document.write( "65 + y^2 = 25 +10y +y^2
\n" ); document.write( "


\n" ); document.write( "65 = 25 + 10y
\n" ); document.write( "40 = 10y
\n" ); document.write( "4 = y
\n" ); document.write( "y = 4
\n" ); document.write( "


\n" ); document.write( "x - y = 5
\n" ); document.write( "x - (4) = 5
\n" ); document.write( "x = 9
\n" ); document.write( "


\n" ); document.write( "check, does 9^2 - 4^2 = 65?
\n" ); document.write( "yes, 81 - 16 = 65
\n" ); document.write( "


\n" ); document.write( "x = 4, y = 9
\n" ); document.write( " \n" ); document.write( "

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