If a and b te zeros of the polnomial f(x)=px^2 +qx+r the evaluate:

a^4+b^4. 

Asked by Rashee Soni | 11th May, 2014, 11:55: AM

Expert Answer:

C o n s i d e r comma  p x squared space space plus q x plus r equals 0  i f space a space a n d space b space a r e space t h e space r o o t s space o f space t h e space g i v e n space e q u a t i o n comma space t h e n  a plus b equals minus q over p space space space a n d space a b equals r over p space space space... space left parenthesis i right parenthesis N o w comma a to the power of 4 plus b to the power of 4 equals open parentheses a squared plus b squared close parentheses squared minus 2 a squared b squared  space space space space space space space space space space space space space equals open square brackets open parentheses a plus b close parentheses squared minus 2 a b close square brackets squared minus 2 a squared b squared  space space space space space space space space space space space space space space equals space open square brackets open parentheses minus q over p close parentheses squared minus 2 r over p close square brackets squared minus 2 r squared over p squared

Answered by Avinash Soni | 11th May, 2014, 12:03: PM

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