Question

If the sum and product of two numbers are 8 and 15 respectively, find the sum of their cubes.

Answer 1

If the sum and product of two numbers are 8 and 15 respectively, what is the sum of their cubes? Ad by DuckDuckGo. What are some ...

Answer 2

Step-by-step explanation:

x + y = 8

y = 8 - x

xy = 15

y = 15/x

8 - x = 15/x

x (8 - x) = 15

-x^2 + 8x = 15

-x^2 + 8x - 15 = 0

- (x^2 - 8x + 15) = 0

- (x - 3) (x - 5) = 0

x-3 = 0; x = 3

x - 5 = 0; x = 5

x + y = 8

3 + y = 8

y = 5

5 + y = 8

y = 3

x^3 + y^3

3^3 + 5^3

27 + 125

152

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