By using the collocation method, the quadratic equation of one variable X & # 178; - 4x-2 = 0 is transformed into the form of (a + b) &# 178;, then the root of the equation is

By using the collocation method, the quadratic equation of one variable X & # 178; - 4x-2 = 0 is transformed into the form of (a + b) &# 178;, then the root of the equation is

x²-4x-2=0
x²-4x=2
x²-4x+4=2+4
(x-2)²=6
x-2=±√6
x=2±√6
∴x1=2+√6, x2=2-√6.