Solve Using the Quadratic Formula 3x^2-x+4=0

Problem

3*x2−x+4=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=−1

c=4

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=(−(−1)±√(,(−1)2−4*(3)*(4)))/(2*(3))

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

x=(1±√(,1−48))/6

x=(1±√(,−47))/6

5. Express the result using the imaginary unit i since the discriminant is negative.

x=(1±i√(,47))/6

Final Answer

x=(1±i√(,47))/6

Want more problems? Check here!