Determine-a-relation-between-the-coefficients-a-b-c-d-such-that-the-equation-ax-3-bx-2-cx-d-0-has-three-real-roots-with-a-pair-of-double-roots-

Question Number 20279 by ajfour last updated on 25/Aug/17

D e t e r m i n e a r e l a t i o n b e t w e e n t h e

c o e f f i c i e n t s a, b, c, d s u c h t h a t t h e

e q u a t i o n : {a x}^{3} + {b x}^{2} + c x + d = 0

h a s t h r e e r e a l r o o t s (w i t h a p a i r

o f d o u b l e r o o t s) .