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- Ta có : \(5\left(x+2\right)^3+7=2\)
=> \(5\left(x^3+6x^2+12x+8\right)+7=2\)
=> \(5x^3+30x^2+60x+40+7=2\)
=> \(5x^3+30x^2+60x+40+7-2=0\)
=> \(5x^3+30x^2+60x+45=0\)
=> \(5x^3+15x^2+15x^2+45x+15x+45=0\)
=> \(5x^2\left(x+3\right)+15x\left(x+3\right)+15\left(x+3\right)=0\)
=> \(\left(5x^2+15x+15\right)\left(x+3\right)=0\)
=> \(\left[{}\begin{matrix}x+3=0\\5x^2+15x+15=0\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=-3\\x^2+3x+3=0\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=-3\\x^2+2x.\frac{3}{2}+\frac{9}{4}+\frac{3}{4}=0\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=-3\\\left(x+\frac{3}{2}\right)^2+\frac{3}{4}=0\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=-3\\\left(x+\frac{3}{2}\right)^2=-\frac{3}{4}\left(VL\right)\end{matrix}\right.\)
=> \(x=-3\)
Vậy phương trình có tập nghiệm là \(S=\left\{-3\right\}\)
5(x + 2)3 + 7 = 2
(x + 2)3 = -1
=> x + 2 = -1
<=> x = -3

\(\widehat{A}=2\widehat{B}=6\widehat{C}\Rightarrow\frac{\widehat{A}}{12}=\frac{2\widehat{B}}{12}=\frac{6\widehat{C}}{12}=\frac{\widehat{A}}{12}=\frac{\widehat{B}}{6}=\frac{\widehat{C}}{2}=\frac{\widehat{A}+\widehat{B}+\widehat{C}}{12+6+2}=\frac{180^o}{20}=9\)
=>góc A = 108 độ, góc B = 54 đô, góc C = 18 độ
Ta có : \(\widehat{A}=2\widehat{B}=6\widehat{C}\Leftrightarrow\frac{\widehat{A}}{6}=\frac{\widehat{2B}}{6}=\frac{\widehat{6C}}{6}\)
; \(\widehat{A}+\widehat{B}+\widehat{C}=180^o\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\frac{\widehat{A}}{6}=\frac{\widehat{B}}{3}=\frac{\widehat{C}}{1}=\frac{\widehat{A}+\widehat{B}+\widehat{C}}{6+3+1}=\frac{180^o}{10}=18^o\)
\(\hept{\begin{cases}\frac{\widehat{A}}{6}=18^o\Rightarrow\widehat{A}=18^o.6=108^o\\\frac{\widehat{B}}{3}=18^o\Rightarrow\widehat{B}=18^o.3=54^o\\\widehat{C}=18^o\end{cases}}\)
Vậy ....

Xét tam giác ABC có :
\(\widehat{A}=2\widehat{B}=6\widehat{C}\)
=> \(\widehat{A}=6\widehat{C}\)và \(\widehat{B}=3\widehat{C}\)
=> \(\widehat{A}+\widehat{B}+\widehat{C}=6\widehat{C}+3\widehat{C}+\widehat{C}=180^0\)
=> \(10\widehat{C}=180^0\)
=> \(\widehat{C}=18^0\)
=> \(\widehat{B}=3\widehat{C}=18.3=54^0\)

\(\left(2^x+2^x+2\right)\cdot5+1817=2017\)
\(\Rightarrow\left(2^{x+1}+2\right)\cdot5=200\)
\(\Rightarrow2^{x+1}+2=40\)
\(\Rightarrow2^{x+1}=38??????\)
\(2^{2^3}=2^8;\left(2^2\right)^3=2^6\)
c ơn bạn nha