Can you solve the following equation?
½ = 1/x² + 1/y² +...+ 1/z²
All variables must be different, positive integers, and there must be a finite number of terms.
â– CHARLIE has submitted a 35-term solution by way of simulation.
The other valid solutions in the comments and official solution are:
Rajal's 9-term solution
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1/2 = 2^(-2) + 3^(-2) + 4^(-2) + 5^(-2) + 7^(-2) + 8^(-2) +56^(-2)+168^(-2) + 840^(-2)
FK's 10-term official solution
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1/2
= 2^(-2) + 3^(-2) + 4^(-2)+ 5^(-2)+6^(-2)+12^(-2)+30^(-2)+60^(-2)+75^(-2)+100^(-2)
e.g.'s 11-term solution
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1/2
= 2^(-2)+3^(-2)+4^(-2)+5^(-2)+6^(-2)+12^(-2)+
30^(-2) + 50^(-2)+100^(-2)+150^(-2)+300^(-2)
Edited on September 8, 2022, 12:51 am
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