Sets, Relations & Functions
Roots of Absolute Value Equation
nta_pyq_2024_apr
Grade 11
Question:
The number of distinct real roots of the equation $|x||x+2|-5|x+1|-1=0$ is ________.
Step-by-Step Solution
Key Concept: Split into cases based on signs of $x$, $x+2$, $x+1$. Analyze each interval.
3 distinct real roots.
Correct Answer: 3