SOLUTION: product of two consecutive, odd, positive, integers is one less than 5 times their sum.
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Question 237329: product of two consecutive, odd, positive, integers is one less than 5 times their sum.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ 5\left(x\ +\ (x\ +\ 2)\right)\ -\ 1)
Simplify and solve the resulting quadratic for 
which will be the smaller of the two numbers you seek. Add 2 to get the other one. Hint: It factors, as it must if you hope to get an integer result. Another hint: You will get two roots to the equation. One will be positive and the other negative. The problem asks for positive integers, so exclude the negative root.
John
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