Question

2/x2 -5/x+2 =0 solve it by factorization

Answer 1

Answer:

x=2 & 1/2

Step-by-step explanation:

$\frac{2}{ {x}^{2} } - \frac{5}{x} + 2 = 0 \\ multiply \: {x}^{2} \: both \: side \: \\ 2 - 5x + 2 {x}^{2} = 0 \\ 2 {x}^{2} - 5x + 2 = 0 \\ 2 {x}^{2} - 4x - x + 2 = 0 \\ 2x(x - 2) - 1(x - 2) = 0 \\ (x - 2)(2x - 1) = 0 \\ then \: we \: have \: \\ x - 2 = 0 \: and \: 2x - 1 = 0 \\ x = 2 \: and \: x = \frac{1}{2}$