Question

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For distinct constants b and c, the quadratic equations x^2+bx+c=0 and x^2+cx+b=0 have a common root r. Find all possible values of r.

Answer 1

x2 bx 1*2

Explanation:

Answer 2

Explanation:

Correct option is C)

Let α be the common root,

⇒α

2

+bα+c=0.....(i) and α

2

+cα+b=0.....(ii)

(i)−(ii)⇒(b−c)α+(c−b)=0⇒α=1, since b



=c

Hence from (i) or (ii), b+c+1=0