Solve the equation: `x^2 + x/sqrt2 + 1 =0`

Explanation

To solve the quadratic equation \( x^2 + \frac{x}{\sqrt{2}} + 1 = 0 \), we will follow these steps:

### Step 1: Identify the coefficients
The given equation is in the standard form of a quadratic equation \( ax^2 + bx + c = 0 \). Here, we can identify:
- \( a = 1 \)
- \( b = \frac{1}{\sqrt{2}} \)
- \( c = 1 \)

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