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egoroff_w [7]
2 years ago
15

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 sq

uares is 65, and the sum of the cubes of the numbers is 407.
Mathematics
2 answers:
lara31 [8.8K]2 years ago
4 0

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.

sukhopar [10]2 years ago
4 0

Answer:

The sum is 11

Step-by-step explanation:

Hope this helped have an amazing day!

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