Solve Using the Quadratic Formula 9x^2+6x+1=0

Problem

9*x2+6*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=9

b=6

c=1

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*(9)*(1)))/(2*(9))

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

x=(−6±√(,36−36))/18

x=(−6±√(,0))/18

5. Calculate the final value for x since the discriminant is zero, indicating one real repeated root.

x=(−6)/18

x=−1/3

Final Answer

x=−1/3

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