Question

Find zeros of:- 4x^2-4x+1=0

Answer 1

Factoring 4x²-4x+1

The first term is, 4x2 its coefficient is 4 .

The middle term is, -4x its coefficient is -4 .

The last term, "the constant", is +1

• Step-1 : Multiply the coefficient of the first term by the constant 4 • 1 = 4

• Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is -4 .

-4 + -1 = -5

-2 + -2 = -4 That's it

• Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and -2

4x2 - 2x - 2x - 1

• Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (2x-1)

Add up the last 2 terms, pulling out common factors :

1 • (2x-1)

• Step-5 : Add up the four terms of step 4 :

(2x-1) • (2x-1)

Which is the desired factorization

hope this answer will work.....

Thank you