12. a x2 + (ax? + 1) x + a
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Given equations, x2+ax+1=0
x2−x−a=0
∵b is common root, so b satisfied both equations.
b2+ab+1=b2−b−a
=ab+b=−a−1
⇒b(a+1)=−(a+1)
⇒b=−1
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