If one of the roots of quadrilatic equation is 2+(3)^(1/2), then the quadrilatic equation is

Question

a)x2+4x-1=0 b)x2-4x+1=0 c)x²+(2+(3)^(1/2))x+1=0 d)x^2-(2+(3)^(1/2))x+1=0

Answer 1

The roots are 2 + √3 and 2 - √3.

A quadratic equation with those roots is [x - (2+√3)][x - (2-√3)] = 0

[(x-2) - √3][(x-2) + √3] = 0

(x-2)² - 3 = 0

x² - 4x + 1 = 0