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Popular >

the product of two consecutive integers is 288. Find the integers.

Solution

the product of two consecutive integers is 288. Find the integers.

Solution

The numbers : \frac{- 1 + 1153}{2}, \frac{- 1 + 1153}{2} + 1 or \frac{- 1 - 1153}{2}, \frac{- 1 - 1153}{2} + 1

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 288

Solve

x (x + 1) = 288 : x = \frac{- 1 + 1153}{2}, x = \frac{- 1 - 1153}{2}

Plug in

x = \frac{- 1 + 1153}{2} : \frac{- 1 + 1153}{2} + 1

Plug in

x = \frac{- 1 - 1153}{2} : \frac{- 1 - 1153}{2} + 1

The numbers : \frac{- 1 + 1153}{2}, \frac{- 1 + 1153}{2} + 1 or \frac{- 1 - 1153}{2}, \frac{- 1 - 1153}{2} + 1

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