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Answer:

[tex]x=\frac{\pm\sqrt{1383} }{3} i[/tex]

Step-by-step explanation:

√-1 = imaginary number i

Step 1: Write equation

3x² - 5 = -466

Step 2: Solve for x

  1. Add 5 to both sides:                    3x² = -461
  2. Divide 3 on both sides:                x² = -461/3
  3. Square root both sides:               x = ±√(-461/3)
  4. Simplify:                                        x = ±(√1383)/3i
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