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Four rational numbers whose product is 10 and whose sum is 0

Puzzling Asked on January 15, 2021

It has been shown that every positive integer is the product of four rational numbers whose sum is 0.

Thus:

3 = (242/75) x (-25/6) x (25/22) x (-54/275) while 
0 = (242/75) + (-25/6) + (25/22) + (-54/275).

Find four rational numbers whose product is 10 and whose sum is 0.

One Answer

Correct answer by Retudin on January 15, 2021

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