Consecutive Odd Integers The product of two consecutive odd integers is 143. Find the integers ....

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Consecutive Odd Integers The product of two consecutive odd integers is 143. Find the integers ....

Consecutive Odd Integers The product of two consecutive odd integers is 143. Find the integers . Elementary Algebra (3rd edition), Chapter 6.6, Question 96E

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Answer 1

Answer #1

Give that the product of consecutive integers is 143

Let and are the integers

Observe that there is a GCF of 4 in the trinomial

So we factor 4 out.

Now we factor the trinomial

The two integers whose product is and whose sum if 2 are 7 and -5

So

From the zero – product property, we have

If there and

If , there and

The integers are and or 11 and 13

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Answer 2

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