Question

Tentukan semua nilai x positif yang memenuhi (x²-x-5)^x²-1 = 1

Answer 1

Verified answer

(x² - x - 5)^(x² - 1) = 1
•
x² - x - 5 = 1
x² - x - 6 = 0
(x - 3)(x + 2) = 0
x = 3 atau x = -2

•
x² - 1 = 0
x² = 1
x = -1 atau x = 1

semua nilai x positif :
x = 1
x = 3