Find the circumference of a circle with a radius of 2.5 cm
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The expansion of a perfect square is
In words, the square of a sum of two terms is the sum of the squares of the two terms ( and
), plus twice the product of the two terms (
)
So, when determining if you have a perfect square trinomial, you should have two perfect squares. Note that they don't have to be the first and third term, since you can rearrange terms as you prefer.
Let be the smaller integer. The larger integer is then
, and we have
We omit , since
is negative.
Then for we find
, but this is not odd.
There are no consecutive odd integers that satisfy the given condition!