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Quan sát bảng biến thiên ta thấy phương trình này có 2 nghiệm.
Chọn D
Đáp án D
Đồ thị hàm số y = f ( x ) = x 3 - 3 x + 1 có dạng:
Dựa vào đồ thị ta thấy phương trình f(x) =0 có 3 nghiệm
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là:
`2^x+8.2^{-x}<=9`
`<=>2^x+8.(2^x)^{-1}<=9`
`<=>2^x+8/(2^x)<=9`
`<=>4^x+8<=9.2^x`
`<=>(2^x)^2-9.2x^2+8<=0`
Đặt `t=2^x`
`pt<=>t^2-9t+8<=0`
`<=>(t-1)(t-8)<=0`
`<=>1<=t<=8`
`<=>1<=2^x<=8=>x in {1;2;3}`
`=>` Chọn C.3
\(\Delta'=4-5=-1\Rightarrow\left[{}\begin{matrix}z_1=2+i\\z_2=2-i\end{matrix}\right.\)
\(\Rightarrow\left(z_1-1\right)^{2019}+\left(z_2-1\right)^{2019}=\left(i+1\right)^{2019}+\left(i-1\right)^{2019}\)
\(=\left(i+1\right)\left[\left(i+1\right)^2\right]^{1009}+\left(i-1\right)\left[\left(i-1\right)^2\right]^{1009}\)
\(=\left(i+1\right)\left(2i\right)^{1009}+\left(1-i\right)\left(-2i\right)^{1009}=\left(2i\right)^{1009}\left(i+1+i-1\right)=\left(2i\right)^{1009}.2i=\left(2i\right)^{1010}=-2^{1010}\)
=>D
P/s: Sry nó bị trôi thông báo nên toi ko để ý
Chọn B