Answer:
2/3
Explanation:
Given the quadratic function:
[tex]3x^{2}=-4+8x[/tex]
First, rearrange the equation:
[tex]3x^2-8x+4=0[/tex]
Next, factor the expression:
[tex]\begin{gathered} 3x^2-6x-2x+4=0 \\ 3x(x-2)-2(x-2)=0 \\ (x-2)(3x-2)=0 \end{gathered}[/tex]
Thus, this gives:
[tex]\begin{gathered} x-2=0\text{ or }3x-2=0 \\ x=2\text{ or }3x=2 \\ x=2\text{ or }x=\frac{2}{3} \end{gathered}[/tex]
The correct choice is 2/3.
