Solve the proportion.

Question

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

Answer 1

To solve the proportion, we need to isolate x.

Given:
4/x = √(11) - 1/3

First, simplify the square root:
√(11) = √(11) * (3/3) = √(33) / 3

Now substitute the simplified square root back into the original equation:
4/x = √(33) / 3 - 1/3

Next, combine the fractions on the right side:
4/x = (√(33) - 1) / 3

Cross multiply to solve for x:
4 * 3 = x * (√(33) - 1)
12 = x * (√(33) - 1)

Divide by (√(33) - 1) to solve for x:
x = 12 / (√(33) - 1)

This is the simplified form of x in terms of the square root of 33.