Question

What is the solution set to the equation (2x−4)(4x−5)=0? {5/4,2}{2}{−2,−5/4}{4/5,5/4}

Answer 1

Since the equation is written as factors, we can equate each factor to zero in order to find the solutions of the equation:

$\begin{gathered} (2x-4)(4x-5)=0\\ \\ \begin{cases}2x-4=0\rightarrow2x=4\rightarrow x=2 \\ 4x-5=0\rightarrow4x=5\rightarrow x=\frac{5}{4}{}\end{cases} \end{gathered}$

The solution set is {5/4, 2}, therefore the correct option is the first one.