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   if product of 0 of polynomial ax^2-6x-6 is 4 .find a

Asked by seeni2005 | 14th May, 2016, 11:57: AM

Expert Answer:

begin mathsize 16px style C o n s i d e r space t h e space g i v e n space p o l y n o m i a l
a x squared minus 6 x minus 6
L e t space alpha space a n d space beta space a r e space t h e space z e r o e s space o f space t h e space a b o v e space p o l y n o m i a l
G i v e n space t h a t space t h e space p r o d u c t space o f space z e r o e s space i s space 4
rightwards double arrow alpha beta equals 4... left parenthesis 1 right parenthesis
W e space k n o w space t h a t space t h e space p r o d u c t space o f space z e r o e s space i s
alpha beta equals C over A equals fraction numerator negative 6 over denominator a end fraction.. left parenthesis 2 right parenthesis
E q u a t i n g space t h e space e q u a t i o n s space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma space w e space h a v e comma
fraction numerator negative 6 over denominator a end fraction equals 4
rightwards double arrow a equals fraction numerator negative 6 over denominator 4 end fraction equals fraction numerator negative 3 over denominator 2 end fraction end style

Answered by Vimala | 14th May, 2016, 02:56: PM