Solve Using the Quadratic Formula x^2+8x+16=0

Problem

x2+8*x+16=0

Solution

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

a=1

b=8

c=16

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

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the values of a b and c into the formula.

x=(−8±√(,8−4*(1)*(16)))/(2*(1))

4. Simplify the discriminant inside the square root.

x=(−8±√(,64−64))/2

x=(−8±√(,0))/2

5. Solve for x by simplifying the remaining expression.

x=(−8)/2

x=−4

Final Answer

x=−4

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