If alpha and beta are the zeries of the polynomial x^2+x-2 find the value of 1÷alpha -1÷beta
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Step-by-step explanation:
a+b=-1 ( sum of roots let a and b be alpha and beta)....(1)
ab=-2...(2)
(1)/(2)
1/a+1/b= 1/2
Squaring on both sides
1/a^2+/b^2+1/ab=1/4
1/a^2+1/b^2=1/4+1/2=3/4
Now
(1/a-1/b)^2
=1/a^2+1/b^2-1/ab
=3/4+1/2
=5/4
=√5/2
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