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Popular Word Problems >

The sum of two numbers is 10. The sum of the squares of the two numbers is 52. Find the two numbers.

Solución

T h e s u m o f tw o n u mb ers i s 10. T h e s u m o f t h e s q u a res o f t h e tw o n u mb ers i s 52. F in d t h e tw o n u mb ers .

Solución

The numbers : 4, 6

Pasos de solución

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 10

x^{2} + y^{2} = 52

Resolver el sistema de ecuaciones:

x + y = 10, x^{2} + y^{2} = 52 : (x = 4, x = 6, y = 6 y = 4)

Discard duplicated solutions

The numbers : 4, 6

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