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Find whether the equation \(x^2 + 5 \sqrt{5}x - 70 = 0\) has real roots. If real roots exist, find them.
 
Answer:
 
\(x^2 + 5 \sqrt{5}x - 70 = 0\) has
.
 
The roots are
and
.
Answer variants:
two equal real roots
no real roots
\(7 \sqrt{5}\)
\(2 \sqrt{5}\)
\(-7 \sqrt{5}\)
\(-2 \sqrt{5}\)
two distinct real roots