Question

Is it possible for two different numbers, when

squared, to give the same result? 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? Explain.

Answer 1

Yes. Squared variables usually have two solutions, unless they are 0 (1 solution) or negative (no solution).

Explanation:

Solving the generic x² = c has two solutions when c>0, one solution when c=0, and no (real) solutions for c<0.

When c>0, the solutions are x = √c and x= -√c.

Answer 2

yes it is possible for two different numbers to eventually have the same result

Explanation:

its basically like saying five times 2 which is 10 and 2 times 5 which is also 10 its different numbers but same outcome