csat-suneung 2023 Q19

csat-suneung · South-Korea · csat__math 3 marks Curve Sketching Number of Solutions / Roots via Curve Analysis

Find the number of integers $k$ such that the equation $2 x ^ { 3 } - 6 x ^ { 2 } + k = 0$ has exactly 2 distinct positive real roots. [3 points]

Find the number of integers $k$ such that the equation $2 x ^ { 3 } - 6 x ^ { 2 } + k = 0$ has exactly 2 distinct positive real roots. [3 points]