Solve Using the Quadratic Formula x^2+3x+1=0

Problem

x2+3*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=1

b=3

c=1

2. Apply the quadratic formula to find the values of x

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−3±√(,3−4*(1)*(1)))/(2*(1))

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

x=(−3±√(,9−4))/2

x=(−3±√(,5))/2

5. Separate the solutions into two distinct values.

x=(−3+√(,5))/2

x=(−3−√(,5))/2

Final Answer

x=(−3±√(,5))/2

Want more problems? Check here!