why does the equation x^2=-9 has no real solution

why does the equation x^2 = 9 has two solutions

1 answer

x^2=-9 has no real solution because when you square a number, it is always positive. There are never negative squares of numbers.

x^2=9 has two solutions because one solution is the given 3*3=9 and the other is -3*-3 because when you multiply two negative numbers they become positive.