Sets, Relations & Functions
General
Grade 11
Question:
The number of real roots of the equation <span class="math-inline">5 + |2x - 1| = 2x (2x - 2)</span> is :
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>Involution condition forces a=1. f(x)=(1-x)/(1+x). f(-1/2)=(3/2)/(1/2)=3.</p><div class="key-concept"><strong>Key Concept:</strong> Möbius transformation involution — unique parameter value</div></div>
Correct Answer: 4