If the equation x2+px+q=0 and x2+qx+p=0, have a common root, then p+q+1=

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Detailed Solution

Let α is the common root, so α2+pα+q=0 ...(i)and α2+qα+p=0 ...(ii)from (i)-(ii),(a-b)α+20=0⇒(p-q)α+(q-p)=0⇒α=1Put the value of α in (i), p+q+1=0.

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