`4 x^2-2 x+a=0,` has two roots lies in`(-1,1)` then ?

Explanation

To solve the problem, we need to ensure that the quadratic equation \(4x^2 - 2x + a = 0\) has two roots that lie within the interval \((-1, 1)\). We will use the properties of the quadratic function and the conditions given.

### Step-by-step Solution:

1. **Define the function**: Let \(f(x) = 4x^2 - 2x + a\).

2. **Evaluate the function at the endpoints**: We need to evaluate \(f(-1)\) and \(f(1)\) to ensure that both values are positive.

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