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    Unknown Value of "x" in Quadratic Equation x2 + x + 1 = 0

    Quadratic Equation Calculator

    -0.5 + 0.866i & -0.5 - 0.866i are the roots of quadratic equation x2 + x + 1 = 0. Users may replace the input values of this equation x2 + x + 1 = 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 x2 + x + 1 = 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 x2 + x + 1 = 0 or to solve the worksheet problems. step 1 Address the input parameters and values
    Quadratic Equation : x2 + x + 1 = 0

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

    x = - b ± b² - 4ac2a

    =-(1) ± (12 - 4 (1) (1))2(1)

    =-1±1 - 4 (1)(1)2

    =-1±1 - 42

    =-1±3 . i2

    step 3 Solve the above expression for minus & plus values
    x1 = -1 + 3 . i2

    = -1 + 1.7321i2

    x2 = -1 - 3 . i2

    = -1 - 1.7321i2

    step 4 By simplifying the above expressions for x1 & x2
    x1 = -1/2+ 1.7321i/2
    x1 = -0.5 + 0.866i
    x2 = -1/2- 1.7321i/2
    x2 = -0.5 - 0.866i

    x1 = -0.5 + 0.866i & x2 = -0.5 - 0.866i are the roots for equation x2 + x + 1 = 0

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