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Popular >

The product of two consecutive integers is 272. Which quadratic equation can be used to find x, the smaller number?

Solution

The product of two consecutive integers is 272. Which quadratic equation can be used to find x, the smaller number?

Solution

The numbers : 16, 17 or - 17, - 16

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 272

Solve

x (x + 1) = 272 : x = 16, x = - 17

Plug in

x = 16 : 17

Plug in

x = - 17 : - 16

The numbers : 16, 17 or - 17, - 16

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