Question

[(x-2)³-11]³=4⁶

Answer 1

\(\left[\left(x-2\right)^3-11\right]^3=4^6\)

\(\Leftrightarrow\left(x-2\right)^3-11=16\)

\(\Leftrightarrow x-2=3\)

hay x=5

Answer 2

\(\Rightarrow\left[\left(x-2\right)^3-11\right]^3=16^3\\ \Rightarrow\left(x-2\right)^3-11=16\\ \Rightarrow\left(x-2\right)^3=27=3^3\\ \Rightarrow x-2=3\\ \Rightarrow x=5\)

Answer 3

\(\left[\left(x-2\right)^3-11\right]^3=4^6\)

<=> \(\left[\left(x-2\right)^3-11\right]^3-16^3=0\)

<=> \(\left[\left(x-2\right)^3-11-16\right]\left\{\left[\left(x-2\right)^3-11\right]^2+16\left[\left(x-2\right)^3-11\right]+256\right\}=0\)

<=> \(\left[{}\begin{matrix}\left(x-2\right)^3-11-16=0\\\left[\left(x-2\right)^3-11\right]+16\left[\left(x-2\right)^3-11\right]+256=0\end{matrix}\right.\)

<=> \(\left[{}\begin{matrix}x=5\\x=0,4048554057\approx0,4=\dfrac{2}{5}\end{matrix}\right.\)

Answer 4

Giải:

\(\left[\left(x-2\right)^3-11\right]^3=4^6\)

\(\Leftrightarrow\left(x-2\right)^3-11=16\) 

\(\Leftrightarrow\) \(x-2=3\) 

Vậy \(x=5\)

Hok tốt