if a,b are the zeroes of the polynomial f(x)=2x2+5x+k satisfying the relation a2+b2+ab=21/4, then find the value of k for yhis to be possible.

Asked by manavmansvi | 21st Jun, 2015, 05:11: PM

Expert Answer:

I f space a space a n d space b space a r e space z e r o e s space o f space t h e space p o l y n o m i a l space 2 x squared plus 5 x plus k equals 0 comma space t h e n a plus b equals negative 5 over 2 a b equals k over 2 G i v e n space t h a t a squared plus b squared plus a b equals 21 over 4 rightwards double arrow open parentheses a plus b close parentheses squared minus a b equals 21 over 4 rightwards double arrow open parentheses negative 5 over 2 close parentheses squared minus k over 2 equals 21 over 4 rightwards double arrow k over 2 equals fraction numerator 25 minus 21 over denominator 4 end fraction equals 1 rightwards double arrow k equals 2

Answered by satyajit samal | 22nd Jun, 2015, 01:36: AM

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