Question

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

Answer 1

HEY MATE HERE IS YOUR ANSWER

It is wrong question

Correct question is =>

$3 {x}^{2} - 5x + 2 = 0$

So i am taking the equation as the above


$3 {x}^{2} - 5x + 2 = 0$

$= > 3 {x}^{2} - 3x - 2x + 2 = 0$

$= > 3x(x - 1) - 2(x - 1) = 0$

$= > (3x - 2)(x - 1) = 0$
Thus,

➡️ x-1 = 0

➡️ x =0

And 3x-2 =0

➡️ 3x =2
➡️ x = 3/2

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Hope it will help you

Answer 2

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

3x² - 5x + 2 = 0

3x² - 3x - 2x + 2 = 0

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

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

Now,

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

$\textbf{3x = + 2}$

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

And

$\textbf{x - 1 = 0}$

$\textbf{x = +1}$

Answer;

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