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Find the zeroes of the polynomial \(y^2 + \frac{3}{2} \sqrt{5}y - 5\), and verify 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:
\(y = -\frac{\sqrt{5}}{2}\)
\(y = - 2\sqrt{5}\)
\(y = \frac{\sqrt{5}}{2}\)
\(y = 2\sqrt{5}\)