csat-suneung 2022 Q6

csat-suneung · South-Korea · csat__math 3 marks Stationary points and optimisation Count or characterize roots using extremum values

How many integers $k$ are there such that the equation $2 x ^ { 3 } - 3 x ^ { 2 } - 12 x + k = 0$ has three distinct real roots? [3 points]
(1) 20
(2) 23
(3) 26
(4) 29
(5) 32

How many integers $k$ are there such that the equation $2 x ^ { 3 } - 3 x ^ { 2 } - 12 x + k = 0$ has three distinct real roots? [3 points]\\
(1) 20\\
(2) 23\\
(3) 26\\
(4) 29\\
(5) 32

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