Question

if one root of the quadratic equation x²-4x+1=0 is (2+√3) then the other root is​

Answer 1

Answer:

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