Question

rezolvati ecuatia 2x²-3x+1=0​

Answer 1

$2 {x}^{2} - 3x + 1 = 0$

$2 {x}^{2} - 2x - x + 1 = 0$

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

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

$= > 2x - 1 = 0 \: \: sau \: \: x - 1 = 0$

$2x - 1 = 0$

$2x = 1$

$x = \frac{1}{2}$

$x - 1 = 0$

$x = 1$

S={1/2;1}

Answer 2

$\it 2x^2-3x+1=0 \Rightarrow 2x^2-2x-x+1=0 \Rightarrow 2x(x-1)-(x-1)=0 \Rightarrow \\ \\ \Rightarrow (x-1)(2x-1)=0 \Rightarrow \begin{cases} \it 2x-1=0 \Rightarrow x_1=\dfrac{1}{2}\\ \\ \it x-1=0 \Rightarrow x_2=1\end{cases}$