Math

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What is a quadratic formula? how can i solve x^2 + 8x + 12 = 0 applying quadratic formula?

  • Math -

    there is only one Quadratic Formula.

    It allows you to compute the roots of any quadratic equation.

    Given the equation ax^2 + bx + c = 0, the roots are given by

    x = [-b ± √(b^2 - 4ac)]/2a

    Now, you have

    x^2 + 8x + 12 = 0

    so, the two roots of this equation are

    [-8 ± √(64-4*1*12)]/2*1
    = [-8 ± √(64-48)]/2
    = [-8 ± √16]/2
    = [-8 ± 4]/2
    = -4 ± 2
    = -4+2 or -4-2
    = -2 or -6

    This can be verified by noticing that

    x^2 + 8x + 12 = 0
    (x+2)(x+6) = 0
    x = -2 or -6

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