why does the equation x^2=-9 has no real solution? This I can't figure out.

Question

why does the equation x^2 = 9 has two solutions? Is it because it satisfied by both 3 and -3 so it has two solutions.

Answer 1

Whether x = 3 or -3, its square (3*3) or (-3*-3) will always be positive, not negative.

x^2 = 9, so x = 3 or -3

Answer 2

Thank you so very much.