Respuesta :

We are given that 16/x = x/4.

Cross multiply:

x^2 = 64

Square root both sides:

x = 8, or x = -8 (depends on the question).

Answer:

The value of x is x=8,-8.

Step-by-step explanation:

Given : Proportion [tex]\frac{16}{x} =\frac{x}{4}[/tex]

To find : The value of x?

Solution :

Proportion [tex]\frac{16}{x}=\frac{x}{4}[/tex]

Cross multiply both side,

[tex]16\times 4=x\times x[/tex]

[tex]x^2=64[/tex]

Squaring both side,

[tex]\sqrt{x^2}=\sqrt{64}[/tex]

[tex]x=\pm 8[/tex]

Therefore, The value of x is x=8,-8.