Question

resolve the following into factors : 4y² - 2y + 1/4​

Answer 1

Answer:

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We know 4y

2

−2y+1 =(2y)

2

−2(2y)(1)+(1)

2

We know appropriate identities x

2

−2xy+y

2

=(x−y)

2

Here x=2y and y=1, then

4y

2

−4y+1= (2y−1)

2

Answer 2

Answer:

$y = \frac{1}{4}$

Step-by-step explanation:

4y² - 2y + 1/4=0

Multiplying both the sides of the equation by 4,

16y² -8y +1 =0

16y² - 4y -4y +1=0

4y(4y-1) -1(4y-1) =0

(4y-1) (4y-1) =0

Therefore,

4y-1=0

y=1/4