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Phổ biến >

the sum of the squares of three consecutive odd numbers is 531. What are the numbers.

Lời Giải

the sum of the squares of three consecutive odd numbers is 531. What are the numbers.

Lời Giải

The numbers : \frac{- 6 + 1569}{3}, \frac{- 6 + 1569}{3} + 2, \frac{- 6 + 1569}{3} + 4 or - \frac{6 + 1569}{3}, - \frac{6 + 1569}{3} + 2, - \frac{6 + 1569}{3} + 4

Các bước giải pháp

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x^{2} + (x + 2)^{2} + (x + 4)^{2} = 531

Giải

x^{2} + (x + 2)^{2} + (x + 4)^{2} = 531 : x = \frac{- 6 + 1569}{3}, x = - \frac{6 + 1569}{3}

Thay

x = \frac{- 6 + 1569}{3} : \frac{- 6 + 1569}{3} + 2, \frac{- 6 + 1569}{3} + 4

Thay

x = - \frac{6 + 1569}{3} : - \frac{6 + 1569}{3} + 2, - \frac{6 + 1569}{3} + 4

The numbers : \frac{- 6 + 1569}{3}, \frac{- 6 + 1569}{3} + 2, \frac{- 6 + 1569}{3} + 4 or - \frac{6 + 1569}{3}, - \frac{6 + 1569}{3} + 2, - \frac{6 + 1569}{3} + 4

Ví dụ phổ biến

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