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Popular Word Problems >

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

Solution

5 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 : \frac{- 5 + 1465}{10}, \frac{- 5 + 1465}{10} + 1 or \frac{- 5 - 1465}{10}, \frac{- 5 - 1465}{10} + 1

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

5 x (x + 1) = 72

Solve

5 x (x + 1) = 72 : x = \frac{- 5 + 1465}{10}, x = \frac{- 5 - 1465}{10}

Plug in

x = \frac{- 5 + 1465}{10} : \frac{- 5 + 1465}{10} + 1

Plug in

x = \frac{- 5 - 1465}{10} : \frac{- 5 - 1465}{10} + 1

The numbers : \frac{- 5 + 1465}{10}, \frac{- 5 + 1465}{10} + 1 or \frac{- 5 - 1465}{10}, \frac{- 5 - 1465}{10} + 1

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