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Question

What is the product of roots of the cubic equation x3-9 x2+16x-30=0 __

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Solution

From the concepts of theory of equations, if a, b. c are roots of given equation,

∑a = a + b + c = - (9)1 = 9

∑ab = ab + bc + ca = 161 = 16

∑abc = abc = - (30)1 = 30

So, the product of roots = 30


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