Question

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

Answer 1

Answer:

given equation is

☑ x^2 - 4x + 1

compare with ax^2 + bx + c = 0

a = 1 b= -4 c=1

we know,

roots of the quadratic equation alpha and beta

alpha + beta = -b/a

one of the root is [alpha = 2+√3]

(2+√3)+beta = -(-4)/1

beta = 4 -(2 +√3)

= 4 -2 -√3

beta = 2-√3

so the other root of quadratic equation is

$\boxed{\textbf{\large{2-root3}}}$