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

Problem

x2+4*x+4=0

Solution

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

a=1

b=4

c=4

2. State the quadratic formula used to find the roots of the equation.

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the identified values into the quadratic formula.

x=(−4±√(,4−4*(1)*(4)))/(2*(1))

4. Simplify the expression inside the square root, which is the discriminant.

x=(−4±√(,16−16))/2

x=(−4±√(,0))/2

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

x=(−4)/2

x=−2

Final Answer

x=−2

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