Question

Q2If one zero of of the
polynomial x2-4 x +1 is 2 +
V(3).Write the other zero.​

Answer 1

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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 =− ab

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