tmua 2018 Q9

tmua · Uk · paper1 1 marks Discriminant and conditions for roots Parameter range for specific root conditions (location/count)

Find the complete set of values of the constant $c$ for which the cubic equation
$$2 x ^ { 3 } - 3 x ^ { 2 } - 12 x + c = 0$$
has three distinct real solutions.
A $- 20 < c < 7$
B $- 7 < c < 20$
C $c > 7$
D $c > - 7$
E $c < 20$
F $c < - 20$

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Find the complete set of values of the constant $c$ for which the cubic equation

$$2 x ^ { 3 } - 3 x ^ { 2 } - 12 x + c = 0$$

has three distinct real solutions.

A $- 20 < c < 7$

B $- 7 < c < 20$

C $c > 7$

D $c > - 7$

E $c < 20$

F $c < - 20$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20