Question

$\frac{2}{ {x }^{2} } - \frac{5}{x} \ + 2 = 0$
find the roots by using factorization method​

Answer 1

Step-by-step explanation:

2/x2 - 5/x + 2 = 0

⇒ 2 – 5x + 2x2/x2 = 0

⇒ 2x2 – 5x + 2 = 0

⇒ 2x2 – 4x – x + 2 = 0

⇒ 2x(x – 2) - 1(x - 2) = 0

⇒ (x – 2)(2x – 1) = 0

⇒ x – 2 = 0

Or 2x – 1 = 0

⇒ x = 2

or x = 1/2 are two roots of the equation.