Solve Using the Quadratic Formula x^2+6x+9=0

Problem

x2+6*x+9=0

Solution

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

a=1

b=6

c=9

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=(−6±√(,6−4*(1)*(9)))/(2*(1))

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

x=(−6±√(,36−36))/2

x=(−6±√(,0))/2

5. Calculate the final value for x by simplifying the remaining fraction.

x=(−6)/2

x=−3

Final Answer

x=−3

Want more problems? Check here!