Answer: \(x^2 + 7x - 30 = 0\)
Required equation: \(x^2 - (\alpha + \beta)x + \alpha\beta = 0\).
Sum \(= 3 + (-10) = -7\)
Product \(= 3 \times (-10) = -30\)
So the equation is \(x^2 + 7x - 30 = 0\).
Answer: \(x^2 + 7x - 30 = 0\)
Required equation: \(x^2 - (\alpha + \beta)x + \alpha\beta = 0\).
Sum \(= 3 + (-10) = -7\)
Product \(= 3 \times (-10) = -30\)
So the equation is \(x^2 + 7x - 30 = 0\).
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