Answer:
[tex]x=\pm2i\sqrt{\frac{2}{3}}[/tex]
Step-by-step explanation:
we have
[tex]3x^{2}-6=-14[/tex]
Solve for x
Adds 6 both sides
[tex]3x^{2}-6+6=-14+6[/tex]
[tex]3x^{2}=-8[/tex]
Divide by 3 both sides
[tex]x^{2} =-\frac{8}{3}[/tex]
square root both sides
[tex]x=\pm\sqrt{-\frac{8}{3}}[/tex]
Remember that
[tex]i=\sqrt{-1}[/tex]
so
[tex]x=\pm i\sqrt{\frac{8}{3}}[/tex]
simplify
[tex]x=\pm2i\sqrt{\frac{2}{3}}[/tex]
