Question

Solve the proportion for x. When applicable, simplify all radicals and show all of your work. 3/x=x/4

Answer 1

add the 2 and 4 togeter

Explanation:

to get 15

Answer 2

To compute for the values of x given the proportion, we can cross-multiply both sides of the equation as shown below.


`(3)/(x) = (x)/(4)`

`4(3) = x(x)`

`12 = x^(2)`

From this, we can see that the solutions for the equation are the positive and negative roots of 12.

Simplifying the radical, we have

√12 = √(2² x 3) = 2√3

Thus, we have


`x = \pm 2\sqrt3`