Mathematics

Question

If f(x) = (x - 3)2 , find all values of x for which f(x) = 36.

1 Answer

  • f(x) = (x - 3)²,

    For f(x) = 36

    (x - 3)² = 36

    Take the square root of both sides

    √(x - 3)² = √36

    (x - 3) = +6 or - 6

    x = 3 + 6   or   3 - 6

    x =9 or - 3

    The values of x are -3 and 9.
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