document.write( "Question 1144836: One number is five less than another. The sum of their squares is 97. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #766002 by ankor@dixie-net.com(22740)\"\" \"About 
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One number is five less than another.
\n" ); document.write( "a = b - 5
\n" ); document.write( " The sum of their squares is 97.
\n" ); document.write( "a^2 + b^2 = 97
\n" ); document.write( " Find the numbers.
\n" ); document.write( "replace a with (b-5)
\n" ); document.write( "(b-5)^2 + b^2 = 97
\n" ); document.write( "FOIL (b-5)(b-5)
\n" ); document.write( "b^2 - 5b - 5b + 25 + b^2 = 97
\n" ); document.write( "Combine like terms
\n" ); document.write( "2b^2 - 10b + 25 - 97 = 0
\n" ); document.write( "A quadratic equation
\n" ); document.write( "2b^2 - 10b - 72 = =
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "b^2 - 5b - 36 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(b - 9)(b + 4) = 0
\n" ); document.write( "the positive solution
\n" ); document.write( "b = 9
\n" ); document.write( "and
\n" ); document.write( "a = 9 - 5
\n" ); document.write( "a = = 4
\n" ); document.write( ":
\n" ); document.write( "The numbers are 9 & 4
\n" ); document.write( ":
\n" ); document.write( "However, b = -4, is another solution, therefore -9 and -4 can also be the numbers \n" ); document.write( "
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