Question

Factorise 2x² - 5/6x + 1/12​

Answer 1

Answer:

,(2x - 1 /3)(x - 1/4)

Step-by-step explanation:

formula

ax^2+bx+c=0

Answer 2

Step-by-step explanation:

$2 {x}^{2} + \frac{5}{6}x + \frac{1}{12}$

This could also be written as: -

$24 {x}^{2} + 10x + 1$

Now as we know,

$24 = 6 \times 4$

Therefore the equation could be changed as: -

$24 {x}^{2} + 6x + 4x + 1$

Putting them in separate bracket, we get

$(24 {x}^{2} + 6x) + (4x + 1)$

Taking out the common factor we get

$6x(4x + 1) + 1(4x + 1)$

Now grouping them, we get

$(6x + 1) + (4x + 1)$

Now equating them with zero to get the roots,

$(6x + 1) + (4x + 1) = 0$

Now getting the two value of 'x',

$6x + 1 = 0$

$6x = - 1$

$x = \frac{ - 1}{6}$

And also,

$4x + 1 = 0$

$4x = - 1$

$x = \frac{ - 1}{4}$

Therefore the two values of X are,

$x = \frac{ - 1}{6} \\ x = \frac{ - 1}{4}$

AND ONE MORE THING I JUST WANT YOU TO MARK THIS ANSWER AS BRAINLIEST, BECAUSE OF THE EFFORTS PUT TO WRITE THIS ANSWER.