Question

if alpha,beet a are the zeros of the polynomial x square +x+1,then 1÷alpha+1÷beet a is
​

Answer 1

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