document.write( "Question 252414: \"Word Problems Involving Products and Factoring\"
\n" ); document.write( "Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much \n" ); document.write( "
Algebra.Com's Answer #184311 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Find two consecutive positive numbers
\n" ); document.write( "x, (x+1)
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\n" ); document.write( "such that the product of the sum and difference of the numbers plus 8 is the sum of their squares.
\n" ); document.write( "(x + (x+1))*((x+1)-x) + 8 = x^2 + (x+1)^2
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\n" ); document.write( "((2x+1) * 1) + 8 = x^2 + (x^2 + 2x + 1)
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\n" ); document.write( "2x + 9 = 2x^2 + 2x + 1
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\n" ); document.write( "9 - 1 = 2x^2 + 2x - 2x
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\n" ); document.write( "8 = 2x^2
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\n" ); document.write( "4 = x^2
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\n" ); document.write( "x = 2 and 3 are the numbers
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\n" ); document.write( "Check in statement
\n" ); document.write( "\"the product of the sum and difference of the numbers plus 8 is the sum of their squares.
\n" ); document.write( "(2+3) * (3-2) + 8 = 2^2 + 3^2
\n" ); document.write( "5 + 8 = 4 + 9
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