maths Maths Puzzle

The sum of the reciprocals of two real numbers is −1, and the sum of their cubes is 4. What are the numbers?

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maths Other Question

Write 271 as the sum of positive real numbers so as to maximize their product. A farmer has four straight pieces of fencing: 1, 2, 3, and 4 yards in length. What is the maximum area he can enclose by connecting the pieces? Assume the land is flat.