Question

which of the following is a solution to 3x²= -4+8x?

Answer 1

Answer:

2/3

Explanation:

Given the quadratic function:

$3x^{2}=-4+8x$

First, rearrange the equation:

$3x^2-8x+4=0$

Next, factor the expression:

$\begin{gathered} 3x^2-6x-2x+4=0 \\ 3x(x-2)-2(x-2)=0 \\ (x-2)(3x-2)=0 \end{gathered}$

Thus, this gives:

$\begin{gathered} x-2=0\text{ or }3x-2=0 \\ x=2\text{ or }3x=2 \\ x=2\text{ or }x=\frac{2}{3} \end{gathered}$

The correct choice is 2/3.