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Popular >

The difference between the squares of two consecutive numbers is 97 . What are the two numbers?

Solution

The difference between the squares of two consecutive numbers is 97 . What are the two numbers?

Solution

The numbers : - 49, - 48

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} - (x + 1)^{2} = 97

Solve

x^{2} - (x + 1)^{2} = 97 : x = - 49

x + 1 = - 49 + 1 = - 48

The numbers : - 49, - 48

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