Find the values of `m` for which roots of equation `x^(2)-mx+1=0` are less than unity.

Explanation

To find the values of \( m \) for which the roots of the equation \( x^2 - mx + 1 = 0 \) are less than unity, we will follow a systematic approach based on the properties of quadratic equations.

### Step 1: Identify the conditions for the roots
For the roots of the quadratic equation \( ax^2 + bx + c = 0 \) to be less than a certain value (in this case, unity), we need to satisfy the following conditions:
1. The discriminant \( D \) must be non-negative (i.e., \( D \geq 0 \)).
2. The function evaluated at that value (here \( f(1) > 0 \)).
3. The vertex of the parabola (given by \( -\frac{b}{2a} \)) must be less than that value (here \( -\frac{m}{2} < 1 \)).

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