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Popular Word Problems >

The sum of the squares of two consecutive, positive odd integers is 1154. Algebraically determine the integers

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, p os i t i v e o dd in t e g ers i s 1154. A l g e b r ai c a ll y d e t er min e t h e in t e g ers

Solution

The number : 1154 or - 1154

Solution steps

Represent the number with

x

A.T.Q.:

x^{2} = 1154

Solve for

x, x^{2} = 1154 : x = 1154, x = - 1154

The number : 1154 or - 1154

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