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Question
If α,β are zeros of x2+5x+5, find the value of α−1+β−1
If α,β are zeros of x2+5x+5, find the value of α−1+β−1
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Solution
The correct option is A -1
f(x)=x2+5x+5
a=1,b=5,c=5
So, α+β=−ba=−5
and αβ=ca=5
value of α−1+β−1=1α+1β
=β+ααβ=−55
So, α−1+β−1=−1
f(x)=x2+5x+5
a=1,b=5,c=5
So, α+β=−ba=−5
and αβ=ca=5
value of α−1+β−1=1α+1β
=β+ααβ=−55
So, α−1+β−1=−1
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