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  4. If α ≠ β, α2=5 α-3, β2=5 β-3, then the equation whose roots are α / β β / α, is

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Q. If $\alpha \neq \beta, \alpha^2=5 \alpha-3, \beta^2=5 \beta-3$, then the equation whose roots are $\alpha / \beta \& \beta / \alpha$, is

Complex Numbers and Quadratic Equations

Solution:

Correct answer is (c) $3 x^2-19 x+3=0$