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Popular >

the sum of the square of two consecutive natural numbers is 85.determine the numbers

Solution

the sum of the square of two consecutive natural numbers is 85.determine the numbers

Solution

The numbers : 6, 7 or - 7, - 6

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 85

Solve

x^{2} + (x + 1)^{2} = 85 : x = 6, x = - 7

Plug in

x = 6 : 7

Plug in

x = - 7 : - 6

The numbers : 6, 7 or - 7, - 6

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