Answer:
x = ±3 (Option 3)
Step-by-step explanation:
[tex]\frac{x}{3} = \frac{3}{x}[/tex]
- Multiply both the sides with 3.
[tex]=> \frac{x}{3} \times 3 = \frac{3}{x} \times 3[/tex]
[tex]=> x = \frac{9}{x}[/tex]
- Multiply both the sides with 'x'.
[tex]=> x \times x = \frac{9}{x} \times x[/tex]
[tex]=> x^2 = 9[/tex]
- Root-square both the sides.
[tex]=> \sqrt{x^2} = \sqrt{9}[/tex]
[tex]=> x = (+3) \: or \: (-3)[/tex]
∴ x = ±3
