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Answer

±13\pm 13

Step-by-step solution

3 steps
  1. Identify the given equation.

    The equation provided is x2=169x^2 = 169.

  2. Solve for xx by taking the square root of both sides.

    To find the value of xx, we need to take the square root of both sides of the equation. Remember that when taking the square root of a number, there are two possible solutions: a positive and a negative value.

    x2=169\sqrt{x^2} = \sqrt{169} x=±169x = \pm \sqrt{169}
  3. Calculate the square root.

    The square root of 169 is 13.

    x=±13x = \pm 13

    So, the values of xx are 13 and −13-13.

    The value of xx is ±13\boxed{\pm 13}.

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