Answer:
[tex]x=\pm 2\text{ or } x = \pm 2i[/tex]
Step-by-step explanation:
We are given:
[tex]0=3x^4-48[/tex]
Factor:
[tex]0=3(x^4-16)[/tex]
Difference of Two Squares:
[tex]0=3(x^2-4)(x^2+4)[/tex]
Zero Product Property:
[tex](x^2-4)=0\text{ or } x^2+4=0[/tex]
Solve:
[tex]x^2=4\text{ or } x^2=-4[/tex]
Take the square root. Since we are taking an even-root, it requires plus/minus:
[tex]x=\pm 2\text{ or } x = \pm 2i[/tex]
