document.write( "Question 981315: one positive number is six more than another. the sum of their squares is 260. what are the numbers? \n" ); document.write( "
Algebra.Com's Answer #602321 by ankor@dixie-net.com(22740)\"\" \"About 
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one positive number is six more than another.
\n" ); document.write( "x, (x+6) are the number
\n" ); document.write( " the sum of their squares is 260.
\n" ); document.write( "x^2 + (x+6)^2 = 260
\n" ); document.write( "FOIL(x+6)(x+6)
\n" ); document.write( "x^2 + x^2 + 6x + 6x + 36 = 260
\n" ); document.write( "Combine like terms
\n" ); document.write( "2x^2 + 12x + 36 - 260 = 0
\n" ); document.write( "2x^2 + 12x - 224 = 0
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "x^2 + 6x - 112 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x+14)(x-8) = 0
\n" ); document.write( " what are the numbers?
\n" ); document.write( "the positive solution
\n" ); document.write( "x = 8, and 14 obviously
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\n" ); document.write( "See if that works
\n" ); document.write( "8^2 + 14^2 =
\n" ); document.write( "64 + 196 = 260
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