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Popular Word Problems >

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

Solution

T h e s u m o f t h e s q u a res o f tw o co n sec u t i v e o dd n u mb ers i s 290. F in d t h e n u mb ers .

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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