Question

if one zero of the polynomial x²-4x+1 is 2+√3,write the other zeros

Answer 1

other zero will be 2-√3.
to check put x=2-√3 in the equation
$( {2 - \sqrt{3} )}^{2} - 4(2 - \sqrt{3} ) + 1 \\ 4 + 3 - 4 \sqrt{3} - 8 + 4 \sqrt{3} + 1 \\ 8 - 8 - 4 \sqrt{3} + 4 \sqrt{3} = 0$