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Phổ biến Word Problems >

The sum of the squares of three consecutive integers is 110. Find the numbers

Lời Giải

The sum of the squares of three consecutive integers is 110. Find the numbers

Lời Giải

The numbers : 5, 6, 7 or - 7, - 6, - 5

Các bước giải pháp

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

A.T.Q.:

x^{2} + (x + 1)^{2} + (x + 2)^{2} = 110

Giải

x^{2} + (x + 1)^{2} + (x + 2)^{2} = 110 : x = 5, x = - 7

Thay

x = 5 : 6, 7

Thay

x = - 7 : - 6, - 5

The numbers : 5, 6, 7 or - 7, - 6, - 5

Ví dụ phổ biến

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