Solve Using the Quadratic Formula 6x^2-3x-1=0

Problem

6*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=6

b=−3

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 identified values into the quadratic formula.

x=(−(−3)±√(,(−3)2−4*(6)*(−1)))/(2*(6))

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

x=(3±√(,9+24))/12

x=(3±√(,33))/12

5. Separate the expression into the two possible solutions for x

x=(3+√(,33))/12

x=(3−√(,33))/12

Final Answer

x=(3±√(,33))/12

Want more problems? Check here!