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3 is a root of f(x) = x2–93987. Find the other roots of f(x).
Write your answer as a list of simplified values separated by commas, if there is more than one value.

Answers

  1. The roots of the equation f(x) = x^2 – 93987 are x = √93987 and x = -√93987

    What are quadratic equations?

    Quadratic equations are equations that have a second degree and have the standard form of ax^2 + bx + c = 0, where a, b and c are constants and the variable a does not equal 0

    How to determine the other roots of the equation?

    The equation of the function is given as:
    f(x) = x^2 – 93987
    The above equation is a quadratic equation
    Express the equation as a difference of two squares
    f(x) = (x – √93987)(x + √93987)
    Set the equation of the function to 0
    (x – √93987)(x + √93987) = 0
    Split the factors of the above function equation as follows
    x – √93987 = 0 and x + √93987 = 0
    Solve for x in the above equations
    x = √93987 and x = -√93987
    Hence, the roots of the equation f(x) = x^2 – 93987 are x = √93987 and x = -√93987
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