Calculators & Converters

    Unknown Value of "x" in Quadratic Equation 3x2 - 2x - 8 = 0

    Quadratic Equation Calculator

    2 & -1.3333 are the roots of quadratic equation 3x2 - 2x - 8 = 0. Users may replace the input values of this equation 3x2 - 2x - 8 = 0 to verify the similar calculations or generate complete work with steps to find what is the unknown or root value of x.

    Work with Steps for 3x2 - 2x - 8 = 0

    The below work with steps may helpful for grade school students to understand how to find unknown or root values of x for quadratic equation 3x2 - 2x - 8 = 0 or to solve the worksheet problems. step 1 Address the input parameters and values
    Quadratic Equation : 3x2 - 2x - 8 = 0

    step 2 Substitute a , b and c values in below formula

    x = - b ± b² - 4ac2a

    =-(-2) ± (-22 - 4 (3) (-8))2(3)

    =4 - 4 (3)(-8)6

    =4 + 966

    =1006

    step 3 Solve the above expression for minus & plus values
    x1 = 2 + 1006

    = 2 + 10/6

    x2 = 2 - 1006

    = 2 - 10/6

    step 4 By simplifying the above expressions for x1 & x2
    x1 = 12/6
    x1 = 2
    x2 = -8/6
    x2 = -1.3333

    x1 = 2 & x2 = -1.3333 are the roots for equation 3x2 - 2x - 8 = 0

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