document.write( "Question 401995: which pair of numbers has a difference of 8 and the difference of their squares is 20 more than 13 times the larger number?\r
\n" ); document.write( "\n" ); document.write( "=> i had already tried to solve it seems i can't satisfy the expression. here is what i derived at:\r
\n" ); document.write( "\n" ); document.write( "a=larger number
\n" ); document.write( "a-b=8
\n" ); document.write( "a^2-b^2=20+13a\r
\n" ); document.write( "\n" ); document.write( "a=8+b
\n" ); document.write( "then substitute
\n" ); document.write( "(8+b)^2-b^2=20+13(8+b)
\n" ); document.write( "(64+b^2)-b^2=20+104+13b\r
\n" ); document.write( "\n" ); document.write( "then i simplify canceled the b^2 and get the value of b by transposing
\n" ); document.write( "i get an answer b=4.615 but i cant balance the equation when i substitute the value
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Algebra.Com's Answer #284404 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
There's one problem, \"%288%2Bb%29%5E2\" does NOT equal \"64%2Bb%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "It turns out that \"%288%2Bb%29%5E2=64%2B16b%2Bb%5E2\" for all values of b
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