if one of the zeroes of the polynomial 4x2-17x+k be the recipocal of other , then find k. a) 4. b ) 1/4 c) -4. d) -1/4. give answer with explanation please
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Answer is 4.
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Let α be the first root of the polynomial 4x²-17x +k
Then according to question other root is 1/α
Now, product of roots=c/a
α× 1/α= k/4
k=4
option (a) 4 is correct
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