Solve Using the Quadratic Formula 3x^2+5x+2=0

Problem

3*x2+5*x+2=0

Solution

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

a=3

b=5

c=2

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

x=(−5±√(,5−4*(3)*(2)))/(2*(3))

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

x=(−5±√(,25−24))/6

x=(−5±√(,1))/6

4. Evaluate the square root and solve for the two possible values of x

x=(−5±1)/6

5. Calculate the first solution using the plus sign.

(x_1)=(−5+1)/6=(−4)/6=−2/3

6. Calculate the second solution using the minus sign.

(x_2)=(−5−1)/6=(−6)/6=−1

Final Answer

x=−2/3,−1

Want more problems? Check here!