Calculate the zeroes of the polynomial \(x^2 - 5\sqrt{3}x + 18\), and verify that the relation between the coefficients and the zeroes of the polynomial.
Answer:
The zeroes are and .
Sum of the zeroes \(=\)
Product of the zeroes \(=\)
Answer variants:
\(x = 3\sqrt{3}\)
\(x = \frac{3}{\sqrt{2}}\)
\(x = \frac{-1}{2 \sqrt{2}}\)
\(x = 2\sqrt{3}\)