Question

find the zeros of the following quadratic
polynomial and verify the relationship between
the zeros and the co-officients.
4x² - 4x+1​

Answer 1

4x2-4x+1
4x2-2x-2x+1
2x(2x-1)-1(2x-1)
(2x-1)(2x-1)

Verify

Sum of zeroes =1/2+1/2=1=-b/a
Product of zeroes=1/2*1/2=1/4


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Answer 2

Step-by-step explanation:

4x^2-4x+1=0

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

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

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

2x-1=0

2x=1

X=1/2;1/2

Alfa=1/2

beta=1/2

sum of the zeroes=Alfa+beta

=1/2+1/2

=1

product of the zeroes=(alfa)(beta)

=(1/2)(1/2)

=1/2