Nilai-nilai x bulat yang memnuhi persamaan [tex](x - 2 )^{x^{2} - x - 2 } = 1 adalah...........[/tex]

Persamaan Trigonometri

 x = ( -1, 1 , 3)
di lampiran

EksPonenSiaL

(x - 2)^(x² - x - 2) = 1
•
x - 2 = 1 ---> x = 3

•
x² - x - 2 = 0
(x - 2)(x + 1) = 0
x - 2 = 0 ---> x = 2 tdk memenuhi
x + 1 = 0 ---> x = -1

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Coba subs (-1) ke pangkatnya
(-1)² - (-1) + 2 = 4 (genap)
(-1)^genap = 1

x - 2 = -1 ---> x = 1

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Nilai x yg memenuhi :
x = 1
x = -1
x = 3