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Popular >

The sum of the squares of two consecutive whole numbers is 61. Find the numbers.

Solution

The sum of the squares of two consecutive whole numbers is 61. Find the numbers.

Solution

The numbers : 5, 6 or - 6, - 5

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 61

Solve

x^{2} + (x + 1)^{2} = 61 : x = 5, x = - 6

Plug in

x = 5 : 6

Plug in

x = - 6 : - 5

The numbers : 5, 6 or - 6, - 5

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