Sunday, January 15, 2023

### Why Does x = √4, x = 2 but x2 = 4, x = 2, -2?

Math is a subject that can be confusing for many people. It can be difficult to understand why certain equations have multiple solutions. In this article, we will explore why x = √4, x = 2 but x2 = 4, x = 2, -2.

• The equation x2 = 4 has two solutions, x = 2 and x = -2.

• The equation x = √4 has only one solution, x = 2.

• The reason why x = √4, x = 2 but x2 = 4, x = 2, -2 is because of the properties of the square root and the square of a number.

The equation x2 = 4 has two solutions, x = 2 and x = -2. This is because when you square a number, the result is always positive. So, when you take the square root of 4, the result is 2, which is the positive solution. The negative solution is -2, which is the opposite of 2.

The equation x = √4 has only one solution, x = 2. This is because the square root of a number can only be positive. So, when you take the square root of 4, the result is 2, which is the only solution.

The reason why x = √4, x = 2 but x2 = 4, x = 2, -2 is because of the properties of the square root and the square of a number. The square root of a number can only be positive, while the square of a number can be either positive or negative. So, when you take the square root of 4, the result is 2, which is the only positive solution. The negative solution is -2, which is the opposite of 2.

Good to know:

• Square Root: The square root of a number is the number that, when multiplied by itself, produces the original number.

• Square: The square of a number is the result of multiplying the number by itself.

In conclusion, the equation x = √4, x = 2 but x2 = 4, x = 2, -2 is due to the properties of the square root and the square of a number. The square root of a number can only be positive, while the square of a number can be either positive or negative. This is why the equation has two solutions, x = 2 and x = -2.