\(8x^3-27=0\)
\(\Leftrightarrow8x^3=27\)
\(\Leftrightarrow x^3=\frac{27}{8}\)
\(\Leftrightarrow x=\frac{3}{2}\)
8x3 - 27 =0
8x3 = 27
x3 = 27/8
x3 = ( 3/2 )3
=> x = 3/2
\(8x^3-27=0\)
\(\Rightarrow\left(2x\right)^3-3^3=0\)
\(\Rightarrow\left(2x-3\right)\left(4x^2+6x+9\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-3=0\\4x^2+6x+9=0\end{cases}}\)
TH1 : \(2x-3=0\Rightarrow x=\frac{3}{2}\)
Th2 : \(4x^2+6x+9=0\)
\(\Rightarrow\left(2x\right)^2+2.2x.\frac{3}{2}+\frac{9}{4}-\frac{9}{4}+9=0\)
\(\Rightarrow\left(2x+\frac{3}{2}\right)^2+\frac{27}{4}=0\left(ktm\right)\)
Vậy \(x=\frac{3}{2}\)
8x3 - 27 = 0
\(\Leftrightarrow\)(2x)3 - 33 = 0
\(\Leftrightarrow\)( 2x - 3 ) ( 2x + 6x + 3 ) = 0
\(\Rightarrow\)\(\hept{\begin{cases}2x-3=0\\8x+3=0\end{cases}}\Rightarrow\orbr{\begin{cases}2x=3\\8x=-3\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{3}{2}\\x=\frac{-3}{8}\end{cases}}\)