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Popular Word Problems >

the difference of two numbers is-3 and the sum of their squares is 29. Find the numbers

Solution

t h e d i ff ere n ce o f tw o 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 29. F in d t h e n u mb ers

Solution

The numbers : 2, 5 or - 5, - 2

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = - 3

x^{2} + y^{2} = 29

Solve the system of equations:

x - y = - 3, x^{2} + y^{2} = 29 : (x = 2, x = - 5, y = 5 y = - 2)

The numbers : 2, 5 or - 5, - 2

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