Question

Solve using the quadratic formula. 3x^2+2x+1=0

Answer 1

4.3 Solving 3x2-2x-1 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC
x = ————————
2A

In our case, A = 3
B = -2
C = -1

Accordingly, B2 - 4AC =
4 - (-12) =
16

Applying the quadratic formula :

2 ± √ 16
x = —————
6


Two real solutions:

x =(2+√16)/6

or:

x =(2-√16)/6