Question

find the zeros of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

1.
$4s ^{2} - 4s + 1$
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Answer 1

Answer:

given

4s^2-4s+ 1=0

a=4,b=-4,c=1

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

2s(2s-1)-1(2s-1)=0

(2s-1) (2s-1) =0

if 2s-1 =0

s=1/2

so here zeros are1/2 , 1/2

alpha=1/2,beta=1/2

we know that ,

alpha+beta= -b/a

so, 1/2+1/2= -(-4)/4

1 =1--- verified

also,

alpha× beta= c/a

1/2×1/2 = 1/4

1/4=1/4----- verified

hope it helps you

typing and solving was a bit hard

so plz mark as brainliest ☺️