Answer:
[tex]x = 2 \sqrt{2} i \: or \: x = - 2 \sqrt{2} i[/tex]
Step-by-step explanation:
• Add 7 to both sides.
[tex]3x {}^{2} - 7 + 7 = - 31 + 7[/tex]
• Simplify
[tex]3x {}^{2} = - 24[/tex]
• Divide both sides by 3
[tex] \frac{3x {}^{2} }{3} = \frac{ - 24}{3} [/tex]
• Simplify
[tex]x {}^{2} = - 8[/tex]
• Find the solution
[tex]x = \sqrt{ - 8} \: and \: x = - \sqrt{ - 8} [/tex]
• Simplify
[tex] \sqrt{ - 8} = 2 \sqrt{2i} [/tex]
[tex] - \sqrt{ - 8} = - 2 \sqrt{2i} [/tex]
ANSWER:
[tex]x = 2 \sqrt{2} i \: and \: x = - 2 \sqrt{2} i[/tex]
