Find whether the following equations have real roots. If real roots exist, find them `x^(2)+5sqrt(5)x-70=0`

Explanation

To determine whether the quadratic equation \( x^2 + 5\sqrt{5}x - 70 = 0 \) has real roots and to find them if they exist, we will follow these steps:

### Step 1: Identify the coefficients
The standard form of a quadratic equation is \( ax^2 + bx + c = 0 \).
Here, we have:
- \( a = 1 \) (coefficient of \( x^2 \))
- \( b = 5\sqrt{5} \) (coefficient of \( x \))
- \( c = -70 \) (constant term)
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