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Popular >

the sum of the squares of 2 consecutive positive numbers is 61. find the numbers

Solution

the sum of the squares of 2 consecutive positive numbers is 61. find the numbers

Solution

The numbers : 5, 6

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

Select positive solutions:

5

x + 1 = 5 + 1 = 6

The numbers : 5, 6

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