How many zeroes of the road length function (8x^3 - 6x^2 + 5x - 21)

Asked by Siri | 8th Jun, 2014, 08:35: AM

Expert Answer:

8 x cubed minus space 6 x squared plus space 5 x space minus 21 space equals space k space open parentheses x minus alpha close parentheses open parentheses x minus beta close parentheses open parentheses x minus gamma close parentheses  s u m space o f space r o o t s space equals space 6 over 8 equals space k open parentheses alpha plus beta plus gamma close parentheses P r o d u c t space o f space t w o space r o o t s space equals space 5 over 8 equals k open parentheses alpha beta plus beta gamma plus gamma alpha close parentheses P r o d u c t space o f space t h r e e space r o o t s equals 21 over 8 equals k open parentheses alpha beta gamma close parentheses  F r o m space t h e space g i v e n space e q u a t i o n comma space w e space c a n space o b s e r v e space t h a t space o n e space r o o t space i s space 1.5 space b y space s u b t i t u t i o n space m e t h o d. space  O b s e r v e space t h e space g r a p h space o f space a b o v e space e q u a t i o n comma space i t s space c o n t i n u o s l y space i n c r e a sin g. space S o space a b o v e space e q u a t i o n space h a s space o n l y space o n e space r e a l space r o o o t space a n d space t w o space i m a g i n a r y space r o o t s  D i s c u s s i o n space o n space i m a g i n a r y space r o o t s space i s space o u t space o f space y i o u r space s y l l a b u s space

Answered by Dharma Teja | 9th Jun, 2014, 11:03: AM