Find whether the following equations have real roots. If real roots exist, find them
`-2x^(2)+3x+2=0`

Explanation

To determine whether the quadratic equation \(-2x^2 + 3x + 2 = 0\) has real roots and to find them if they exist, we will follow these steps:

### Step 1: Identify coefficients
The standard form of a quadratic equation is given by \(ax^2 + bx + c = 0\). In our equation:
- \(a = -2\)
- \(b = 3\)
- \(c = 2\)

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