SOLUTION: 4. The Product of two consecutive odd integers is 58 less than the square of the next consecutive odd integer. Find the 3 integers.

Question 795749: 4. The Product of two consecutive odd integers is 58 less than the square of the next consecutive odd integer. Find the 3 integers.
Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
Let n be any integer.
The needed integers are 2n+1, 2n+3, 2n+5.

is the translated description.

Simplify and solve for n.

I omit the steps. You might think that a quadratic equation occur, but the n^2 term will be eliminated, and you will find ....
.

The three integers are :
---------------------
2*3+1=7
9
and
11
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