Absolute Power Neutralises Absolutely.

Number Theory Level 2

Find the sum of all the solutions of 2 ∣ x ∣ − 2 ∣ x ∣ = 22 2^{|x|} - 2|x| = 22 .


The answer is 0.

Bryan Mw by Bryan MW , 17, Malaysia

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1 solution

Yashas Ravi
Oct 30, 2019

Because the x x is in absolute value, the negative and positive versions work. Thus, the sum of solutions is 0 0 .

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