No 9 - 10 pliss Tentukan nilai2 x yg memenuhi persamaan2 eksponen berikut

EksPonenSiaL

9][
2^x + 2^-x = t
(2^x + 2^-x)² = t²
2^2x + 2^-2x + 2 = t²
2^2x + 2^-2x = t² - 2

••
2^2x + 2^-2x + 2^x + 2^-x
= t² - 2 + t
= t² + t - 2 ✔

10][
Misal :
x^2/3 = a
x^-2/3 = 1/a

9a + 4/a = 37
Kalikan a
9a² - 37a + 4 = 0
(9a - 1)(a - 4) = 0
a = 1/9 atau a = 4

a = 1/9
x^2/3 = 1/9
x^2 = (1/9)³
x^2 = (1/3³)²
x = (1/3)³
x = 1/27 ✔

atau
a = 4
x^2/3 = 2^2
x^2 = (2^2)³
x = 2³
x = 8 ✔

Nilai x yg memenuhi :
x = 1/27 atau x = 8