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Populaire Word Problems >

The différence of two positive numbers is 3 and the sum of their squares is 117. Find the numbers.

Solution

T h e d i ff ere n ce o f tw o p os i t i v e n u mb ers i s 3 an d t h e s u m o f t h e i r s q u a res i s 117. F in d t h e n u mb ers .

Solution

The numbers : 9, 6

étapes des solutions

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 3

x^{2} + y^{2} = 117

Résoudre le système des équations:

x - y = 3, x^{2} + y^{2} = 117 : (x = 9, x = - 6, y = 6 y = - 9)

Select positive solutions:

6, 9

The numbers : 9, 6

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