Question

Is it possible for two different numbers, when squared, to give the same result?

Consider the example x2=4, is x=2 the only solution?

- What does this result tell you about solving an equation when the variable is squared?

- How many solutions will an equation like this have?

- Will there always be the same number of solutions for any equation with a squared variable? What conditions will change the number of solutions?

Answer 1

what is the degree of x^2 ???

Answer 2

degree=exponent

Answer 3

I don't get what you mean ^^ I have the first 2 questions I just need this one now,
- Will there always be the same number of solutions for any equation with a squared variable? What conditions will change the number of solutions?
Someone please help!

Answer 4

highest degree tells us how many solution we going to have \[\sqrt{x^2} = \pm \sqrt{4}\]
when you take square root of something your answer is going to be plus minus

Answer 5

thats not quite accurate.

\[\sqrt{x^2}=|x|\]
and |x| is not a negative value.

the issue is, that the sqrt function has been defined as having a range of [0,inf)