Question

Find “x” in: x^(x^6) =√2^(√2)

Answer 1

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Step-by-step explanation:

x² - (3√2 – 2i)x - 6√2i = 0

x² - 3√2x + 2ix - 6√2i = 0

x(x - 3√2) + 2i(x - 3√2) = 0

(x + 2i)(x - 3√2) = 0

x = -2i or x = 3√2 ■