pierre was born in the twentieth century and will be x years old in the year x squared. In what year was pierre born

Let y be the year of his birth. x^2 is the year when he is x years old.

x^2 - y = x
x^2 -x = y must be between 1900 and 2000
Try x = 45. His birth year would be 1980
If x = 46, his birth year would be 2070 (too late)
If x = 44, his birth year would be 1892 (too early).

So the birth year is 1980

To find out in what year Pierre was born, we need to use the given information that Pierre was born in the twentieth century and will be x years old in the year x squared.

Let's break down the problem step by step:

1. The twentieth century refers to the years from 1901 to 2000. So, Pierre was born somewhere within this range.

2. Pierre will be x years old in the year x squared. Therefore, if we assume that Pierre will be x years old in the year x squared, we can set up an equation as follows:

x years old = x^2

3. Rearranging the equation, we get:

x^2 - x = 0

4. Factoring out x, we have:

x(x - 1) = 0

5. Since x cannot be zero (as ages are positive), we have:

x - 1 = 0

x = 1

6. Therefore, Pierre will be 1 year old in the year 1 squared, which is 1.

7. Since Pierre is currently x years old, we can conclude that he was born in the year:

current year - age = birth year

2021 (current year) - 1 (age) = 2020 (birth year)

Thus, Pierre was born in the year 2020.