Question

Find the probability that the three roots of the cubic equation x ^ 3-3ax + 2b = 0 are real for all values ​​of the coefficients a, b such that | a | <= 3 and | b | <= 6

de que las tres raices de la ecuacion cubica Encontrar la probabilidad c3 -3 ax + 2b 0 sean reales para todos los valores de los oeficientes a, b tales que lal s 3 y lbl s 6.

Answer 1

Selulion ahin Thue mols f.are LIC Hote The chossen at Randon aroble14143 et Random able s,-6 skk 6,67 3,.3 ad b-6,67 biy density fnc hón 1o 12 liore The a d b u Te ndebendent Rondon Vaiable erint oly 7.2 Cubic Equalon 3-ay2b hove real 4pu + ncot

SCH İhs inan/ dz-4 (30)3-27 (%)2. let A be The event That χ3f3ax42b:0 I ds dt a 3 s 62 2, ds 72 7 72 72L3 주 12. 3 4 (-27 l 3牛 16 12

721 2 141435 1 2 352 352 73X12 86Y