if alpha and beta are roots of the equation x²+5x+1=0 then find a²+b²
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Answer:
sum of root=5
product of root=6
value of 1/a2+1/b2=
=a2+b2/(ab)2.(1)
on finding value of a2+b2=(a+b)2-2ab
a2+b2=25-12
a2+b2=13
putting this value in equation 1
=13/(6)2
=13/36
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