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Popular Word Problems >

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

Solution

T h e p ro d u c t o f tw o co n sec u t i v e in t e g ers i s 272. Whi c h q u a d r a t i c e q u a t i o n c an b e u se d t o f in d x, t h e s ma ll er n u mb er ?

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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