Question

What property indicates that equations with squared variables may have two possible solutions?

A) Only when both variables are squared
B) Only when the coefficient is positive
C) Whenever one of the variables is squared
D) Only when the exponent is odd

Answer 1

The property that indicates equations with squared variables may have two possible solutions is whenever one of the variables is squared.

Step-by-step explanation:

The property that indicates that equations with squared variables may have two possible solutions is option C) Whenever one of the variables is squared.

When an equation contains an unknown squared, it can result in two solutions. This is because when a variable is squared, both the positive and negative values of the variable can satisfy the equation. For example, if we have the equation x^2 = 4, the solutions would be x = 2 and x = -2.

So, whenever one of the variables in an equation is squared, there is a possibility of having two solutions.