document.write( "Question 930172: The difference between the squares of two numbers is 51. Twice the square of the second number
\n" ); document.write( "subtracted from the square of the first number is 2. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #564765 by ankor@dixie-net.com(22740)\"\" \"About 
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The difference between the squares of two numbers is 51.
\n" ); document.write( "x^2 - y^2 = 51
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\n" ); document.write( " Twice the square of the second number subtracted from the square of the first number is 2.
\n" ); document.write( "x^2 - 2y^2 = 2
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\n" ); document.write( "Find the numbers.
\n" ); document.write( "subtract the 1st equation from the 2nd equation
\n" ); document.write( "x^2 - 2y^2 = 2
\n" ); document.write( "x^2 - y^2 = 51
\n" ); document.write( "---------------Subtraction eliminates x^2, find y^2
\n" ); document.write( "0 - y^2 = -49
\n" ); document.write( "y^2 = 49
\n" ); document.write( "y = \"sqrt%2849%29\"
\n" ); document.write( "y = +/-7
\n" ); document.write( "Find x using the 1st equation
\n" ); document.write( "x^2 - 7^2 = 51
\n" ); document.write( "x^2 - 49 = 51
\n" ); document.write( "x^2 = 51 + 49
\n" ); document.write( "x = \"sqrt%28100%29\"
\n" ); document.write( "x = +/-10
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\n" ); document.write( "Check in the 2nd equation
\n" ); document.write( "10^2 - 2(7^2) = 2
\n" ); document.write( "100 - 2(49) = 2 \n" ); document.write( "
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