Multiple choice

Solve the equation $4 + x^{2} = 2x^{2} - 5$.

  1. $\left \{x : x = 3\right \}$
  2. $\left \{x : x = -3\right \}$
  3. $\left \{x : x = \pm 3\right \}$
  4. $\left \{x : x = -1\right \}$
  5. $\left \{x : x = 1\right \}$
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C Correct answer
Explanation

4 + x^2 = 2x^2 - 5. Rearranging gives x^2 = 9. Therefore, x = 3 or x = -3.

AI explanation

Rearranging the terms by subtracting 4 and x^2 from both sides gives x^2 = 9. Taking the square root of both sides yields x = 3 or x = -3.

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