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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
\(\frac{\sqrt{51} + 1}{5}\)
\(\frac{1 + \sqrt{51}}{5}\)
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