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Populaire Word Problems >

The différence of two positive numbers is 1 and the sum of their squares is 61. 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 1 an d t h e s u m o f t h e i r s q u a res i s 61. F in d t h e n u mb ers

Solution

The numbers : 6, 5

étapes des solutions

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 1

x^{2} + y^{2} = 61

Résoudre le système des équations:

x - y = 1, x^{2} + y^{2} = 61 : (x = 6, x = - 5, y = 5 y = - 6)

Select positive solutions:

5, 6

The numbers : 6, 5

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