Solve the proportion.

Question

4/x=the square root of 11 -1/3

Answer 1

4/x = √11 - 1/3

To solve for x, isolate it on one side of the equation by multiplying both sides by x:

4 = x(√11 - 1/3)

Now, distribute x on the right side:

4 = x√11 - x/3

Next, add x/3 to both sides:

4 + x/3 = x√11

Now, multiply both sides by 3 to get rid of the fraction:

12 + x = 3x√11

Subtract x from both sides:

12 = 3x√11 - x

Factor out an x:

12 = x(3√11 - 1)

Divide both sides by (3√11 - 1) to solve for x:

x = 12 / (3√11 - 1)