The sum of all real roots of the equation $x^2 + |x| - 6 = 0$ is:
Step-by-Step Solution
Key Concept: Separate into two cases: $x \geq 0$ and $x < 0$. In each case solve the resulting quadratic and keep only physically valid roots.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (2)