A positive number x is multiplied by 2, and this product is then divided by 5. If the positive square root of the result of these two operations equals x, what is the value of x ? Choose the correct answer:
A) 9/4
B) 3/2
C) 4/3
D) 2/3
E) 1/2
We need to produce an equation from the information given in the problem stem. We are first given that x is multiplied by 2 and then the product is divided by 3. This gives us:   2x/3   Next we are given that the positive square root of the result (which is 2x/3) is equal to x. This gives us   √(2x/3) = x   2x/3 = x^2   2x = 3x^2   3x^2 – 2x = 0   x(3x – 2) = 0   x = 0 or   3x – 2 = 0   3x = 2   x = 3/2   Because x is positive, x = 3/2. The answer is 3/2.
<result>B</result>
A positive number x is multiplied by 2, and this product is then divided by 5. If the positive square root of the result of these two operations equals x, what is the value of x ?