Question

Is this the correct solution for this question? I need help please

Answer 1

Given equation:

`9x^2\text{ - 12x + 4 = 0}`

Let's solve the question to identify the type of solution.

Using factorization method:

`\begin{gathered} 9x^2\text{ - 12x + 4 =0} \\ 9x^2-6x\text{ -6x + 4 = 0} \\ 3x(3x-2)\text{ -2(3x-2)= 0} \\ (3x-2)(3x-2)\text{ =0} \end{gathered}`

The solution is thus

`\begin{gathered} 3x\text{ -2 = 0} \\ 3x\text{ = 2} \\ x\text{ = }(2)/(3) \end{gathered}`

Hence, there is one solution and it is real.

Answer: 1 real (Option B)