Question

Which of the following is not a solutionof the equation below?3x(x - 1)(x - 2) = 0A. x = 0B. x = 1C. x = 2D. x = 3

Answer 1

Given:

The equation is,

`3x\mleft(x-1\mright)\mleft(x-2\mright)=0`

Step-by-step explanation:

For the solution of equation 3x(x - 1)(x - 2) = 0, x = 0, x - 1 = 0 and x - 2 = 0.

Simplify the equations x - 1 = 0 and x - 2 = 0 for x.

`\begin{gathered} x-1=0 \\ x=1 \end{gathered}`

and

`\begin{gathered} x-2=0 \\ x=2 \end{gathered}`

So solutions of the equations are x = 0, x = 1 and x = 2.

From the options, it can be observed that x = 3 is not a solution of equation.

Option D is correct option.