How many ways can you select and arrange 5 books on a shelf out 13 books?

There are 154,440 ways.

Step-by-step explanation:

The word arrange means that the order in which the books are placed is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:

5 books from a set of 13. So

There are 154,440 ways.

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225