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SMO 2024 Junior Round 1 Question 22

SMO · SMO 2024 Junior Round 1

Question 22

Points $A$ and $B$ lie on the graph of $y=x^2+5x-8$ such that $A,B$ and the origin $O$ are collinear and $|OB|=2|OA|$. It is given that $A$ lies in the first quadrant. Find $|AB|^2$.