Question

If alpha and beta are the zeros of 4x2-4x+1,find alpha and beta

Answer 1

Hey

Here is your answer,

4x2-4x+1 =0

4x^2 -2x -2x+1=0

2x(2x-1)-1(2x-1)=0

(2x -1)(2x -1)=0

2x -1=0

X=1/2

2x -1=0

X=1/2

Therefore, the zeroes are 1/2 and 1/2 .

Hope it helps you!

Answer 2

Answer :

Now, 4x² - 4x + 1

= (2x)² - (2 × 2x × 1) + 1²

= (2x - 1)²

= (2x - 1)(2x - 1)

So, the required zeroes of the polynomial be

1/2 and 1/2

Hence, α = β = 1/2

#MarkAsBrainliest