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Popular Word Problems >

The difference between two positive numbers is 7 and the square of their sum is 289 . Find the two numbers.

Solução

T h e d i ff ere n ce b e tw ee n tw o p os i t i v e n u mb ers i s 7 an d t h e s q u a re o f t h e i r s u m i s 289 . F in d t h e tw o n u mb ers .

Solução

The numbers : 12, 5

Passos da solução

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 7

(x + y)^{2} = 289

Resolver o sistema de equações:

x - y = 7, (x + y)^{2} = 289 : (x = 12, x = - 5, y = 5 y = - 12)

Select positive solutions:

5, 12

The numbers : 12, 5

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