Answer:
x = -3.73 or -0.27
Explanation:
From the question,
x²+ 4x+1 = 0
This is a quadratic equation, and it can be solved using any of the 3 methods.
Using completing the square method,
x²+4x = -1
Add half the coeffiecient of x, square it and add it to both side of the equation.
The coefficient of x is 4,
half the cofficient is 2
Add 2² to both side of the equation
x²+4x+2² = -1+2²
(x+2)² = 3
x+2 = ±√3
x+2 = ±1.73
Either,
x+2 = -1.73
x = -1.73-2
x = -3.73
or
x+2 = +1.73
x = =1.73-2
x = -0.27