Question

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

Answer 1

2/3

Step-by-step 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=(2)/(3) \end{gathered}`

The correct choice is 2/3.