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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