Solve Using the Quadratic Formula x^2+6x+3=0

Problem

x2+6*x+3=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=6

c=3

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

x=(−6±√(,6−4*(1)*(3)))/(2*(1))

3. Simplify the expression inside the square root (the discriminant).

x=(−6±√(,36−12))/2

x=(−6±√(,24))/2

4. Simplify the radical by factoring out the largest perfect square from 24.

√(,24)=√(,4⋅6)=2√(,6)

x=(−6±2√(,6))/2

5. Divide each term in the numerator by the denominator to find the final values of x

x=−3±√(,6)

Final Answer

x=−3±√(,6)

Want more problems? Check here!