Daniellelillyonna959 Daniellelillyonna959

30-12-2020
Mathematics

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Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the squares is 65, and the sum of the cubes of the numbers is 407.

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ChoiSungHyun ChoiSungHyun

30-12-2020

Step-by-step explanation:

We have xy = 28, x² + y² = 65 and x³ + y³ = 407.

Since (x + y)(x² - xy + y²) = x³ + y³,

x + y = (x³ + y³)/(x² + y² - xy)

= (407) / [(65) - (28)]

= 407 / 37

= 11.

Hence the sum of the numbers is 11.

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Аноним Аноним

30-12-2020

Answer:

The sum is 11

Step-by-step explanation:

Hope this helped have an amazing day!

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