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SMO 2018 Junior Round 1 Question 23

SMO · SMO 2018 Junior Round 1

Question 23

If $\alpha,\beta$ and $\gamma$ satisfy $$(x-\alpha)(x-\beta)(x-\gamma)=x^3-18 x^2-122 x+161,$$ find the value of $\alpha^2+\beta^2+\gamma^2$.