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 equation \( x^2 + 5\sqrt{5}x - 70 = 0 \) has real roots, we will follow these steps:

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

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