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Mathematics

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Answer

x=13 or x=−13x = 13 \text{ or } x = -13

Step-by-step solution

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8) Find the value of xx if x2=169x^{2} = 169

  1. Identify the equation.

    We are given the equation:

    x2=169x^{2} = 169
  2. Take the square root of both sides to solve for xx.

    When taking the square root of both sides of an equation, remember to include both the positive and negative roots.

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

    The square root of 169 is 13.

    x=±13x = \pm 13

    The values of xx are x=13 or x=−13\boxed{x = 13 \text{ or } x = -13}.

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