Suppose that α, β and γ are the roots of the cubic equationx3 − 4x2 + 3x + 1 = 0.Find the cubic equation whose roots are α2 , β2 and γ2
Question
Solution 1
The roots of the given cubic equation are α, β, and γ. We know that the sum of the roots taken one at a time, the sum of the roots taken two at a time, and the sum of the roots taken three at a time are given by the coefficients of the equation.
For the equation x^3 - 4x^2 + 3x + 1 = 0, we have:
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