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Find whether the equation 5x^2 - 2x - 10 = 0 has real roots. If real roots exist, find them.
 
Answer:
 
5x^2 - 2x - 10 = 0 has
.
 
The roots are
and
.
Answer variants:
two distinct real roots
\frac{1 - \sqrt{51}}{5}
\frac{\sqrt{51} - 1}{5}
no real roots
two equal real roots
\frac{\sqrt{51} + 1}{5}
\frac{1 + \sqrt{51}}{5}