If one zero of polynomial (a2 + q)x2 + 13x + 6a is reciprocal of oher zero.find the value of a

Asked by Manoj | 3rd May, 2015, 05:55: PM

Expert Answer:

begin mathsize 14px style f left parenthesis x right parenthesis equals open parentheses a squared plus 9 close parentheses x squared plus 13 x plus 6 a I f space o n e space z e r o space i s space t h e space r e c i left square bracket r o c a l space o f space t h e space o t h e r comma space t h e n space t h e i r space p r o d u c t space i s space 1. fraction numerator 6 a over denominator a squared plus 9 end fraction equals 1 a squared plus 9 equals 6 a a squared minus 6 a plus 9 equals 0 a squared minus 2 cross times 3 cross times a plus 9 equals 0 open parentheses a minus 3 close parentheses squared equals 0 a minus 3 equals 0 a equals 3 end style

Answered by Rashmi Khot | 4th May, 2015, 11:12: AM