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Popular >

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

Solution

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

Solution

The numbers : 4, 6

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 10

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

Solve the system of equations:

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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