Question

if the zero of the polynomial x^2-4x+1 is 2+root3 write the other zero

Answer 1

hi friend,

given ,if the zero of the polynomial x^2-4x+1 is 2+root3

since the coefficients are rational numbers ,the other root will be 2-√3 ..


let's verify the answer:-

sum of zeros =4

2-√3+2+√3=4

4=4

hence verified


I hope this will help u ;)

Answer 2

Sum of the roots of a quadratic equation = - coefficient of x/ coefficient of x² = -b/a

Given, one root is 2+√3 and let the other root be y
and from the given polynomial, a=1, b=-4
                             2+√3+y = 4
                                       y = 4-2-√3
                                       y = 2-√3

Therefore, the other root is 2-√3