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Popular Word Problems >

the sum of 2 consecutive numbers, both squared, is 13

Solution

t h e s u m o f 2 co n sec u t i v e n u mb ers, b o t h s q u a re d, i s 13

Solution

The numbers : 2, 3 or - 3, - 2

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 13

Solve

x^{2} + (x + 1)^{2} = 13 : x = 2, x = - 3

Plug in

x = 2 : 3

Plug in

x = - 3 : - 2

The numbers : 2, 3 or - 3, - 2

Popular Examples

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