One zero of x^3 - 4x = 0 is 0 what are the other zeros of the function

So you have x^3 - 4x = 0. What you can do is pull out an x from both x^3 and - 4x so it looks like this:



Then you can find a number that makes the part inside the parentheses turn into zero. For beginners, it may be easier to write it out seperately and solve for x.



We need to solve for x, so the first step is to add 4 to both sides, so we get something like this:



Then, we can square root both sides to get rid of the power on the x, so it looks like this:



Now, every square root has two answers, a positive and a negative. If we look at the bottom example:





We can see that both -2 and 2 to the power of two will equal to 4.

So finally, we get:



These are the other 'Zero's for the original function. If you are not sure of what a 'Zero' is, it is where the function crosses over the x-axis on a graph.

Step-by-step explanation:

Since each town he has allows him to create 1.13 times as many villagers as he had in the one before.

The population of the next village will be a multiplication of the population of the previous village by 1.13.

This forms a sequence in which the next term is obtained by multiplication of the previous term by a constant. This type of sequence us called a Geometric Sequence and the constant is called the Common ratio.

For any number of terms, the nth term of a Geometric Progression is determined using the formula:

Where a= First Term

r= common ratio

n= number of terms

The game gave Chase 4 villagers to start with.

Therefore, his first term a=4

The common ratio, r= 1.13

To predict the number of villagers in any specific town, we use the formula:

In the 17th town, i.e. n=17

The number of villagers that can be created will be found by substituting n=17 into the formula above.

Since number of villagers cannot be fractional, the number of villagers he can create to live in the 17th village is 28.