document.write( "Question 339068: separate 65 into two parts so that the square of the smaller is 455 less than the square of the larger. what is the answer? \n" ); document.write( "

Algebra.Com's Answer #243149 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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separate 65 into two parts so that the square of the smaller is 455 less than the square of the larger. what is the answer?
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\n" ); document.write( "Let x = one part
\n" ); document.write( "then
\n" ); document.write( "(65-x) = the other part (the larger part)
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\n" ); document.write( "The statement essentially says:
\n" ); document.write( "(65-x)^2 - x^2 = 455
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\n" ); document.write( "FOIL (65-x)(65-x)
\n" ); document.write( "4225 - 130x + x^2 - x^2 = 455
\n" ); document.write( "-130x = 455 - 4225
\n" ); document.write( "-130x = -3770
\n" ); document.write( "x = $\"%28-3770%29%2F%28-130%29\"$
\n" ); document.write( "x = +29 is the smaller
\n" ); document.write( "and
\n" ); document.write( "65 - 29 = 36 is the larger part
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\n" ); document.write( "See if that's true
\n" ); document.write( "36^2 - 29^2 =
\n" ); document.write( "1296 - 841 = 455; confirms our solution \n" ); document.write( "

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