Answer :
To solve the problem, we need to find an equation that represents the situation described: "The sum of a number and its square is 210."
Let's break down the problem:
1. Understanding the problem:
- We need to find a number, which we can denote as [tex]\( n \)[/tex].
- The problem states that the sum of this number and its square equals 210.
2. Formulating the equation:
- The square of the number is [tex]\( n^2 \)[/tex].
- The number itself is [tex]\( n \)[/tex].
- According to the problem, their sum is equal to 210.
3. Writing the equation:
- So, we can write the equation as:
[tex]\[
n^2 + n = 210
\][/tex]
This equation correctly represents the given problem: the sum of a number and its square equals 210.
Therefore, the correct equation to use is:
[tex]\[ n^2 + n = 210 \][/tex]
Let's break down the problem:
1. Understanding the problem:
- We need to find a number, which we can denote as [tex]\( n \)[/tex].
- The problem states that the sum of this number and its square equals 210.
2. Formulating the equation:
- The square of the number is [tex]\( n^2 \)[/tex].
- The number itself is [tex]\( n \)[/tex].
- According to the problem, their sum is equal to 210.
3. Writing the equation:
- So, we can write the equation as:
[tex]\[
n^2 + n = 210
\][/tex]
This equation correctly represents the given problem: the sum of a number and its square equals 210.
Therefore, the correct equation to use is:
[tex]\[ n^2 + n = 210 \][/tex]
