Question

FIND THE ROOTS OF 3x2-6x+2=0





the answer is 1 and 2/3 but i need its steps

Answer 1

$Here \: is \: the \: answer \: of \: your \: question$

$\boxed{Question}$ :- 3x² - 5x + 2 = 0

We have to find it's root.

{Seems like your question is wrong according to the answer you suggest}

$\boxed{Solution}$ :-

3x² - 5x + 2 = 0

3x² - 3x - 2x + 2 = 0

$\textbf{3x (x - 1) - 2 (x - 1) = 0}$

$\textbf{(3x - 2) (x - 1) = 0}$

Now,

$\textbf{3x - 2 = 0}$

$\textbf{3x = + 2}$

$\textbf{x = + 2/3}$

Also,

$\textbf{x - 1 = 0}$

$\textbf{x = + 1}$

So, we get answer is;

$\boxed{x = + 2/3, + 1}$
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