fastest way:
I had to write it down in an equation form, but then, the answer struck me as obvious once I had done this.
\(\sqrt{\frac{2}{3}x} = x\)
square both sides gives you
\(\frac{2}{3}x = x^2\)
can also be written as:
\(\frac{2}{3}*x = x*x\)
Divide both sides by x gives you
\(\frac{2}{3} = x\)
Not sure the best way to do this is without the equation. When you reduce things to writing on the pad, it helps eliminate errors which occur when we try to keep everything straight in our heads.
droopy57 wrote:
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x?
a. 9/4
b. 3/2
c. 4/3
d. 2/3
e. 1/2
**question: what is the fastest way to solve this non-algebraically? Any clear way to choose between the two possible choices?**