Question

2x²-5x+2=0 por factorización

Answer 1

Respuesta:

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

Explicación paso a paso:

$2x^2-5x+2=0$

----------------------------------

$2x^2-5x+2\\=\left(2x^2-x\right)+\left(-4x+2\right)\\=x\left(2x-1\right)-2\left(2x-1\right)\\=\left(2x-1\right)\left(x-2\right)$

-----------------------------------

$\left(2x-1\right)\left(x-2\right)=0$

-----------------------------------

⇒ $2x-1=0\\2x=0+1\\x=\frac{1}{2}$

-----------------------------------

⇒ $x-2=0\\x=0+2\\x=2$

-----------------------------------

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