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what are the solution(s) of \\(x^2 - 4 = 0\\)? \\(x = -4\\) or \\(x = 4…

Question

what are the solution(s) of \\(x^2 - 4 = 0\\)?

\\(x = -4\\) or \\(x = 4\\)
\\(x = -2\\) or \\(x = 2\\)
\\(x = 2\\)
\\(x = 4\\)

Explanation:

Isolate the quadratic term

$$ x^2 = 4 $$

Apply the square root property

$$ x = \pm\sqrt{4} $$

Simplify the roots

$$ x = -2 \quad \text{or} \quad x = 2 $$

Answer:

  • \(x = -4\) or \(x = 4\)
  • \(x = -2\) or \(x = 2\) (Correct answer)
  • \(x = 2\)
  • \(x = 4\)