For what positive number is the cube of the number greater than twice it’s square

You want to solve the equation

x2=2x3 ,

which is equivalent to

x2(1−2x)=0 .

The product of two factors is zero if and only if one of the factors is zero. Thus, this implies that either  x2=0  or that  1−2x=0 .

In the former case we have  x=0 , which isn’t a positive number. In the latter case you have  x=1/2 , which is the solution that we want.

Step-by-step explanation:

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.