Question

For the equation |x|² + |x| - 6=0, what are the sum of the real roots?

Answer 1

|x|^2+|x|-6=0 is the given equation
this equation can be written to 2 equations when removing the modulas
that is
X^2+x-6 and x^2-x-6
roots of first equation is 2 and -3
roots of second equation is 3 and -2
so the sum of roots=0