Question

what is the solution set of the equation (x -2) (x-a) = 0 ?

Answer 1

Answer:

{a,2}

Explanation:

Given the equation:

$(x-2)(x-a)=0$

If the product of two terms is zero, then one of the terms or both must be zero.

Thus, we have that:

$\begin{gathered} x-2=0\text{ or }x-a=0 \\ \implies x=2\text{ or }x=a \end{gathered}$

Therefore, the solution set to the equation is:

$\{a,2\}$