Question

factorise. 2x^2-5/6x+1/12

Answer 1

$\huge\red{Answer\: is}$

$2x {}^{2} - \frac{5}{6} x + \frac{1}{12}\\ multiply \: by \: 12 \\ 24x {}^{2} - 10x + 1 \\ 24x {}^{2} - 6x - 4x + 1 \\ 6x(4x - 1) - 1(4x - 1) \\ (4x - 1)(6x - 1)$

$<marquee>Hope it helps you$

Answer 2

Answer:

The required factors of the equation are : (6x - 1) and (4x - 1)

Step-by-step explanation:

The equation which is to be factorized is given to be :

2x² - 5/6x + 1/12 = 0

First multiplying each term of the equation by 12

⇒ 24x² - 10x + 1 = 0

Now, factorize the above equation formed.

⇒ 24x² - 6x - 4x + 1 = 0

⇒ 6x(4x - 1) - 1(4x + 1) = 0

⇒ (6x - 1)·(4x - 1) = 0

⇒ x = 1/6 or x = 1/4

Thus, The required factors of the equation are : (6x - 1) and (4x - 1)