Question

if one of the zeroes of the polynomial is x²-4x+1 is
$(2 + \sqrt{3)}$
write the other zero

​

Answer 1

Answer:

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Step-by-step explanation:

To find another zero of the polynamial x

2

−4x+1 , if one of them will be (2+

3

)

let consider two zeros α,β

α=2+

3

(given)

α+β=−

a

b

α+β=

1

−(−4)

(x

2

−4x+1comparingwithgenaralequationax

2

+bx+c,thena=1,b=−4,c=1)

α+β=4

fromequation(1)&(2)

α+β=4

2+

3

+β=4

β=4−(2+

3

)

β=4−2−

3

β=2−

3