It is known that the sum of three real numbers is 0. If the sum of their cubes is [tex]e^\pi[/tex], what is the product of the three real numbers?
Please answer with solution, thanks in advance! :))
Please answer with solution, thanks in advance! :))
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Answer:
There is a very interesting identity.
Let the numbers be x, y and z.
If x + y + z = 0; then x³ + y³ + z³ = 3xyz
Substitute.
Here,
Therefore,
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