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Verified answer
B(nx) = (1/2)(p^(nx) + p^(-nx)) = (1/2)p^(nx) + (1/2)p^(-nx)= (1/2)p^(nx) + p^(-nx) - (1/2)p^(-nx)
= p^(-xn) + (1/2)p^(xn) - (1/2)p^(-xn)
= p^(-xn) + (1/2)(p^(xn) - p^(-xn))
= p^(-xn) + A(nx)
= 1/2(p^x - p^x + p^(-x) + p^(-x))^n + A(nx)
= (1/2(p^x + p^(-x)) - 1/2(p^x - p^(-x)))^n + A(nx)
= (B(x) - A(x))^n +A(nx) = C
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4^x + a.2^x + a + 3 > 0
2^(2x) + a.2^x + a + 3 > 0
Misal, 2^x = k, maka
k^2 + ak + (a + 3) > 0
karena nilainya harus selalu real, maka
a^2 - 4(1)(a + 3) ≤ 0
a^2 - 4a - 12 ≤ 0
(a - 6)(a + 2) ≤ 0
-2 ≤ a ≤ 6