Question

If x/ 3=3/x then what is the value of x
1.-3
2.3
3.+-3​

Answer 1

x = ±3 (Option 3)

Explanation:

`(x)/(3) = (3)/(x)`

• Multiply both the sides with 3.

`=> (x)/(3) * 3 = (3)/(x) * 3`

`=> x = (9)/(x)`

• Multiply both the sides with 'x'.

`=> x * x = (9)/(x) * x`

`=> x^2 = 9`

• Root-square both the sides.

`=> √(x^2) = √(9)`

`=> x = (+3) \: or \: (-3)`

∴ x = ±3