if alpha and beta are the zeroes of the quadratic polynomial x^2-6x+a find the value of a if 3alpha + 2beta =20
 

Asked by anshika adlakha | 5th Jun, 2014, 10:38: AM

Expert Answer:

S u m space o f space r o o t s space equals space alpha plus beta equals 6 g i v e n space 3 alpha plus 2 beta equals 20 S o space alpha plus 2 open parentheses alpha plus beta close parentheses equals 20 S o space alpha equals 8 comma space beta equals minus 2  P r o d u c t space o f space r o o t s space i s space minus 16 comma space S o space a space equals space minus 16

Answered by Dharma Teja | 5th Jun, 2014, 10:44: AM

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