document.write( "Question 257261: find 3 consecutive odd numbers where the product of the smaller two numbers is 34 less than the square of the largest number.? \n" ); document.write( "

Algebra.Com's Answer #189177 by drk(1908) $\"\"$ $\"About$

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Let x, x+2, and x+4 be the 3 consecutive odd integers.
\n" ); document.write( "From above, we have:
\n" ); document.write( "(i) $\"%28x%29%28x%2B2%29+=+%28x%2B4%29%5E2+-+34\"$
\n" ); document.write( "by foiling, we get
\n" ); document.write( "(ii) $\"x%5E2+%2B+2x+=+x%5E2++%2B+8x+%2B+16+-+34\"$
\n" ); document.write( "simplifying we get
\n" ); document.write( "(iii) $\"x%5E2+%2B+2x+=+x%5E2+%2B+8x+-+18\"$
\n" ); document.write( "setting = 0, we get
\n" ); document.write( "(iv) $\"6x+-+18+=+0\"$
\n" ); document.write( "solving for x, we get
\n" ); document.write( " $\"x+=+3\"$
\n" ); document.write( "If x = 3, the 3 consecutive odd integers are {3, 5, 7} \n" ); document.write( "

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