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Popular Word Problems >

The product of two consecutive numbers is 72. Use a quadratic equation to find the two sets of numbers.

Solution

T h e p ro d u c t o f tw o co n sec u t i v e n u mb ers i s 72. U se a q u a d r a t i c e q u a t i o n t o f in d t h e tw o se t s o f n u mb ers .

Solution

The numbers : 8, 9 or - 9, - 8

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 72

Solve

x (x + 1) = 72 : x = 8, x = - 9

Plug in

x = 8 : 9

Plug in

x = - 9 : - 8

The numbers : 8, 9 or - 9, - 8

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