Math, asked by somaneogi9, 1 year ago

If the sum and product of two number are 7 and 45/4 respectively find the sum of their cubes

Answers

Answered by sankalppatra7
8
If the sum and product of two numbers are 8 and 15 respectively, what is the sum of their cubes?

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2 ANSWERS



Adeeba Waris, B.S. Cell Biology & Molecular Biology, Christopher Newport University (2017)

Answered Jul 26, 2018 · Author has 479answers and 64k answer views

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

The x,y combination is either x = 3 and y = 5 or x = 5 and y = 3; regardless of the combination,the sum of their cubes is 154

Answered by kanvi14
5

Kindly refer the attachment...

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