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Popular >

The sum of the squares of two consecutive odd numbers is 290. Find the numbers.

Solution

The sum of the squares of two consecutive odd numbers is 290. Find the numbers.

Solution

The numbers : 11, 13 or - 13, - 11

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 290

Solve

x^{2} + (x + 2)^{2} = 290 : x = 11, x = - 13

Plug in

x = 11 : 13

Plug in

x = - 13 : - 11

The numbers : 11, 13 or - 13, - 11

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