Question

Factorise 2x^2-5/6x+1/12

Answer 1

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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)