if alpha,beet a are the zeros of the polynomial x square +x+1,then 1÷alpha+1÷beet a is
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if alpha,beet a are the zeros of the polynomial x square +x+1,then 1÷alpha+1÷beet a is
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Answer:
x²+x+1
coefficient of x²=a=1
coefficient of x=b=1
c=1
sum of zeros =alpha +ß=-b/a=-1/1=-1
alpha +ß=-1
product of zeros =alpha ×ß=c/a=1/1=1
alpha ×ß=1
1/alpha +1/ß=alpha+ß/alpha ×ß
=-1/1=-1
therefore, 1/alpha +1/ß=-1