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Question

If α,β are roots of the equation x2α(x+1)c=0,the write value of (1+ α )(1+β ).

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Solution

α,β are the roots ofx2α(x+1)c=0...(i)α+β=ba=a and αβ=ca=(a+c)...(ii)Now,(1+α)(1+β)=1+(α+β)+αβ=1+a+(ac)=1c


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