Solve Using the Quadratic Formula 4x^2+4x+1=0

Problem

4*x2+4*x+1=0

Solution

1. Identify the coefficients a b and c from the quadratic equation in the form a*x2+b*x+c=0

a=4

b=4

c=1

2. Apply the quadratic formula which is given by x=(−b±√(,b2−4*a*c))/(2*a)

x=(−4±√(,4−4*(4)*(1)))/(2*(4))

3. Simplify the expression inside the square root, also known as the discriminant.

x=(−4±√(,16−16))/8

x=(−4±√(,0))/8

4. Calculate the final value for x since the square root of zero is zero.

x=(−4)/8

x=−1/2

Final Answer

x=−1/2

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