Find the roots of `4x^2+3x+5=0`by the method of completing the square.

Explanation

To find the roots of the quadratic equation \(4x^2 + 3x + 5 = 0\) by the method of completing the square, we will follow these steps:

### Step 1: Divide the entire equation by the coefficient of \(x^2\)
The coefficient of \(x^2\) in the equation is 4. We divide the entire equation by 4:

\[ \frac{4x^2}{4} + \frac{3x}{4} + \frac{5}{4} = 0 \implies x^2 + \frac{3}{4}x + \frac{5}{4} = 0 \]
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