Question

$2x² - 7 x + 3 = 0$
​

Answer 1

Respuesta:

Soluciones: x = 1/2 ó x = 3

Explicación paso a paso:

2x² - 7x + 3 = 0

2x² - 7x + 3 = 2x² - x - 6x + 3 = (2x² - x) - (6x - 3) = x(2x - 1) - 3(2x - 1)

= (2x - 1)(x - 3)

2x² - 7x + 3 = (2x - 1)(x - 3) = 0

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

Soluciones:

(2x - 1) = 0 => 2x = 1 => x = 1/2

(x - 3) = 0 => x = 3