Mathematics

Question

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

1 Answer

  • 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
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