Question

The roots of a quadratic equation are 5 and 2/3. If one of the two factors of the equation is x - 5, which expression could be a second factor?

Answer 1

The Solution:

Given:

The roots of the quadratic equation are:

`\begin{gathered} x=5 \\ (x-5)\text{ is one factor.} \end{gathered}`

We are asked to find the second factor:

`\begin{gathered} x=(2)/(3) \\ \\ Cross\text{ multiply} \\ 3x=2 \\ 3x-2 \end{gathered}`

Therefore, the correct answer is 3x - 2 [ option 2 ]