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Popular Word Problems >

the sum of the squares of two consecutive integers is sixty-one

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 in t e g ers i s s i x t y - o n e

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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