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    Unknown Value of "x" in Quadratic Equation x2 + 5x + 6 = 0

    Quadratic Equation Calculator

    -2 & -3 are the roots of quadratic equation x2 + 5x + 6 = 0. Users may replace the input values of this equation x2 + 5x + 6 = 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 + 5x + 6 = 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 + 5x + 6 = 0 or to solve the worksheet problems. step 1 Address the input parameters and values
    Quadratic Equation : x2 + 5x + 6 = 0

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

    x = - b ± b² - 4ac2a

    =-(5) ± (52 - 4 (1) (6))2(1)

    =-5±25 - 4 (1)(6)2

    =-5±25 - 242

    =-5±12

    step 3 Solve the above expression for minus & plus values
    x1 = -5 + 12

    = -5 + 1/2

    x2 = -5 - 12

    = -5 - 1/2

    step 4 By simplifying the above expressions for x1 & x2
    x1 = -4/2
    x1 = -2
    x2 = -6/2
    x2 = -3

    x1 = -2 & x2 = -3 are the roots for equation x2 + 5x + 6 = 0

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