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Answer:
The sum of two numbers is 7.
Step-by-step explanation:
Given : the product of the numbers is 10, the sum of the squares of the numbers is 29, and the sum of the cubes of the numbers is 133.
Using identity and given details, we have to find the sum of two numbers.
Since, given that the product of the numbers is 10 that is
Also, given the sum of the squares of the numbers is 29 that is
and the sum of the cubes of the numbers is 133 that is
Using, the given identity ,
Substitute, the given values, we have,
Simplify , we get,
Divide both side by 19, we have,
Thus, the sum of two numbers is 7.