If alpha and beta are roots of equation 3x^2-2x-1=0 find value of alpha÷beta+beta÷alpha without finding value of alpha and beta
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Answer:
-7/3
Explanation:
i will take alpha=a ,beta=b
a/b+b/a=(a^2+b^2)/ab=((a+b)^2-ab)/ab
given eqn
3x^2-2x-1=0
product of roots ab = -1/3
sum of roots a+b=2/3
a/b+b/a=((2/3)^2-(-1/3))/-1/3
=(4/9+1/3)/-1/3
=(7/9)/-1/3
=-7/9×3/1
= -7/3
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