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The equation √ x+ 1 × √ x- 1 = √ x? -1 What are the conditions for its establishment?
Solution: According to the fact that the number of quadratic roots must be non-negative, we can know that:

( 1)X+ 1≥0,X ≥- 1;

(2)X- 1≥0 and x ≥1;

(3)X? -1≥0, that is, (X+ 1)(X- 1)≥0, so X≥ 1 or X≤- 1.

Since x must satisfy the above three equations at the same time, therefore:

The condition of this formula is: X≥ 1.