document.write( "Question 189204: I have tried to work these problems different ways and can not come up with the correct answer. Any help would be great! Thanks!\r
\n" ); document.write( "\n" ); document.write( "1) Find three consecutive integers such that the sum of the squares of the smaller two is equal to the square of the largest.\r
\n" ); document.write( "\n" ); document.write( "2) Find three consecutive odd integers such that the sum of all three is 36 less than the product of the smaller two.
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Algebra.Com's Answer #141942 by jonvaliente(64)\"\" \"About 
You can put this solution on YOUR website!
Question #1:
\n" ); document.write( "Let x, x+1, x+2 = 3 consecutive integers\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B%28x%2B1%29%5E2=%28x%2B2%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2Bx%5E2%2B2x%2B1=x%5E2%2B4x%2B4\"\r
\n" ); document.write( "\n" ); document.write( "\"2x%5E2%2B2x%2B1=x%5E2%2B4x%2B4\"\r
\n" ); document.write( "\n" ); document.write( "\"2x%5E2-x%5E2%2B2x-4x%2B1-4=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x-3=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x-3%29%28x%2B1%29=0\"\r
\n" ); document.write( "\n" ); document.write( "x-3=0 x+1=0
\n" ); document.write( "x=3 x=-1\r
\n" ); document.write( "\n" ); document.write( "The possible answers are:
\n" ); document.write( "3,4,5 or -1,0,1\r
\n" ); document.write( "\n" ); document.write( "Question #2:
\n" ); document.write( "Let x, x+2, x+4 = consecutive odd numbers\r
\n" ); document.write( "\n" ); document.write( "\"x%2B%28x%2B2%29%2B%28x%2B4%29=x%2A%28x%2B2%29-36\"\r
\n" ); document.write( "\n" ); document.write( "\"3x%2B6=x%5E2%2B2x-36\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-x-42=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x-7%29%28x%2B6%29=0\"\r
\n" ); document.write( "\n" ); document.write( "x-7=0 x+6=0\r
\n" ); document.write( "\n" ); document.write( "x=7 or x=-6\r
\n" ); document.write( "\n" ); document.write( "Since we are looking for odd numbers, the correct answer should be
\n" ); document.write( "7,9,11
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