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

Question

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

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Rylee 4 months 2021-07-18T23:38:29+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-18T23:39:44+00:00

    ma thek hu ap btao

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    # ItzYourQueen01

    0
    2021-07-18T23:40:02+00:00

    Answer :

    • 152 is the sum of their cubes

    Given :

    • The sum and the product of two numbers are 8 and 15

    To find :

    • The sum of their cubes

    Solution :

    • Let the two number be x and y

    Sum of numbers = 8

    》x + y = 8

    》x = 8 – y

    Product of numbers are 15

    》xy = 15

    》y = 15/x

    Now ,

    》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 and x – 5

    》x = 3 and x = 5

    • If x = 3 then y = 5
    • If x = 5 then x = 3

    Now , we need to find the sum of their cubes :

    》(x)³ + (y)³

    》(3)³ + (5)³

    》27 + 75

    》152

    Hence,152 is the sum of their cubes

    Verification :

    》x + y = 8

    》3 + 5 = 8

    》8 = 8

    Hence Verified

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