Question

the equation √x +1 - √x - 1 = √4x - 1 has
how many solutions ?​

Answer 1

Answer:

The original equation is equivalent to:

2x−1−−−−−√+x+1−−−−−√=4x−1−−−−−√

where every term makes sense iff x≥1. With such assumption, however, the LHS is ≤2–√ while the RHS is ≥3–√. So, no solutions.