SOLUTION: The product of two consecutive positive odd integers is 38 less than the square of the greater integer. Find the integers.

SOLUTION: The product of two consecutive positive odd integers is 38 less than the square of the greater integer. Find the integers.

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Question 564665: The product of two consecutive positive odd integers is 38 less than the square of the greater integer. Find the integers.

Answer by ad_alta(240) (Show Source): You can put this solution on YOUR website!
Let the first integer be 'n.' Then n(n+2)+38=(n+2)^2. Solve using the quadratic equation: n=17. The two odd integers are 17 and 19.
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