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    Unknown Value of "x" in Quadratic Equation 2x2 + 9x + 10 = 0

    Quadratic Equation Calculator

    -2 & -2.5 are the roots of quadratic equation 2x2 + 9x + 10 = 0. Users may replace the input values of this equation 2x2 + 9x + 10 = 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 2x2 + 9x + 10 = 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 2x2 + 9x + 10 = 0 or to solve the worksheet problems. step 1 Address the input parameters and values
    Quadratic Equation : 2x2 + 9x + 10 = 0

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

    x = - b ± b² - 4ac2a

    =-(9) ± (92 - 4 (2) (10))2(2)

    =-9±81 - 4 (2)(10)4

    =-9±81 - 804

    =-9±14

    step 3 Solve the above expression for minus & plus values
    x1 = -9 + 14

    = -9 + 1/4

    x2 = -9 - 14

    = -9 - 1/4

    step 4 By simplifying the above expressions for x1 & x2
    x1 = -8/4
    x1 = -2
    x2 = -10/4
    x2 = -2.5

    x1 = -2 & x2 = -2.5 are the roots for equation 2x2 + 9x + 10 = 0

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