Answer:
x = ± i [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
3x² + 6 = 0 ( subtract 6 from both sides )
3x² = - 6 ( divide both sides by 3 )
x² = - 2 ( take the square root of both sides )
x = ± [tex]\sqrt{-2}[/tex]
= ± [tex]\sqrt{2(-1)}[/tex]
= ± ([tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex]) → [tex]\sqrt{-1}[/tex] = i
= ± i [tex]\sqrt{2}[/tex]
