Fast response please :)
Matematika
Rahmilen
Pertanyaan
Fast response please :)
1 Jawaban
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1. Jawaban arsetpopeye
6) 2 . 4^x - 5 . 2^x + 2 = 0
2 . (2^x)^2 - 5 . 2^x + 2 = 0 ===> misal 2^x = p
2p^2 - 5p + 2 = 0
(2p - 1)(p - 2) = 0
p = 1/2 atau p = 2
2^x = 2^-1 atau 2^x = 2^1
x = -1 atau x = 1
Hasil kali : x1 . x2 = (-1) . 1 = -1
7) 4^x + 4^-x = 7
(2^x + 2^-x)^2 = 2^2x + 2 . 2^x . 2^-x + 2^-2x
(2^x + 2^-x)^2 = 4^x + 2 + 4^-x
(2^x + 2^-x)^2 = 4^x + 4^-x + 2
(2^x + 2^-x)^2 = 7 + 2
(2^x + 2^-x) = √9 = 3
8^x + 8^-x = (2^x)^3 + (2^-x)^3
= (2^x + 2^-x)^3 - 3 . 2^x . 2^-x (2^x + 2^-x)
= (3)^3 - 3 . 1 (3)
= 27 - 9
= 18