\(VP=8x^3-48x^2+58x-4x^2+24x-29\)
\(=2x\left(4x^2-24x+29\right)-\left(4x^2-24x+39\right)\)
\(=\left(2x-1\right)\left(4x^2-24x+29\right)\)
\(pt\Leftrightarrow\left(2x-1\right)\sqrt{2x-1}=\left(2x-1\right)\left(4x^2-24x+29\right)\)
\(\Leftrightarrow\left(2x-1\right)\left[\sqrt{2x-1}-4x^2+24x-29\right]=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}2x-1=0\\\sqrt{2x-1}-4x^2+24x-29=0\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=\frac{1}{2}\\\sqrt{2x-1}=4x^2+24x-29=0\left(2\right)\end{array}\right.\)
Tới đây giải pt (2) ra